The value of |(a x a) u a)| = 16, when a is a set with a = { 2, 5, 7, 11 }.
|(a x a) u a)| is the cardinality of the set obtained by the union of the cartesian product of a with itself, and a.
The cartesian product of a with itself is the set of all possible ordered pairs (x,y) where x and y are elements of a. Therefore, a x a = { (2,2), (2,5), (2,7), (2,11), (5,2), (5,5), (5,7), (5,11), (7,2), (7,5), (7,7), (7,11), (11,2), (11,5), (11,7), (11,11) }
The union of a x a and a is the set of all unique elements that belong to both sets. Since all elements of a are also in a x a, the union will have the same elements as a x a plus the elements of a. Therefore, (a x a) u a = { (2,2), (2,5), (2,7), (2,11), (5,2), (5,5), (5,7), (5,11), (7,2), (7,5), (7,7), (7,11), (11,2), (11,5), (11,7), (11,11), 2, 5, 7, 11 }
The cardinality of a set is the number of distinct elements it contains. The set (a x a) u a contains 16 distinct elements, therefore |(a x a) u a)| = 16.
Learn more about cardinality here:
https://brainly.com/question/23976339
#SPJ4
What is the equation of the line that passes through the points (36, - 30) and ( - 12, 34).
Write your answer in slope-intercept form using integers and/or simplified fractions.
Considering the expression of a line, the equation of the line that passes through the pair of points (35, -30) and (-12, 34) is y=-4/3x +18.
What is a Linear equationA linear equation o line can be expressed in the form y = mx + b
where
x and y are coordinates of a point.m is the slope.b is the ordinate to the origin and always coincides with the value of y corresponding to the value of x= 0Knowing two points (x₁, y₁) and (x₂, y₂) of a line, the slope of said line can be calculated using:
m= (y₂ - y₁)÷ (x₂ - x₁)
Substituting the value of the slope and the value of one of the points in the expression of a line, the value of the ordinate to the origin can be obtained.
Equation in this caseIn this case, being (x₁, y₁)= (36, -30) and (x₂, y₂)= (-12, 34), the slope m can be calculated as:
m= (34 - (-30))÷ (-12 - 36)
m= (34+30)÷ (-12 - 36)
m= 64÷ (-48)
m= -4/3
Considering point 2 and the slope m, you obtain:
34= -4/3×(-12) + b
34= 16 +b
34 -16= b
18= b
Finally, the equation of the line is y=-4/3x +18.
Learn more about the equation of a line having 2 points:
brainly.com/question/16137599
brainly.com/question/2503591
#SPJ1
Explain how to get to answer
Answer:
The length of CD is
"The Right Triangle Altitude Theorem says that the product of AD times DB must equal the length of [tex]CD^{2}[/tex]. Since 4 * 6 = 24, CD must be [tex]\sqrt{24}[/tex].
[tex]AC^{2} = AD^{2} + CD^{2}[/tex]
[tex]AC^{2} = 40[/tex]
[tex]AC = \sqrt{40} = 2\sqrt{10}[/tex]
Jacob ran 3,462 feet during the relay race. What was the distance he ran measured in yards?
Jacob has ran 1154 yards because you divide it by yards
Answer: Jacob ran 1154 yards during the relay race.
Step-by-step explanation: 3462 feet equals 1154 yards.
Your Progress There are 63 days left in the marking period.Marking Period 3rd Grading Period 21 - 22 January 3, 2022 March 11, 2022 Points What Does This Mean
On solving the provided question we can say that by linear equation x = 12 and y = 35
What is a linear equation?A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.
as here we have,
There are = 63 days left in the marking period.
so, Marking Period 3rd Grading Period 21 - 22 January 3, 2022 March 11, 2022 =
63x + 21y = 100
22x + 3y = 64
and, x = 12 and y = 35
To know more about linear equation visit:
https://brainly.com/question/11897796
#SPJ4
it takes 63 pounds of seed to completly plant an 11 -acre field. how many pounds of seed are needed per acre
Answer:
Step-by-step explanation:
5.7 pounds use division.
How do you divide a line segment into 4 equal parts using ruler and compass?
In most geometry issues, the most popular approach is to utilize a compass and a ruler.
Simply lock that length into the compass by setting it to a setting that is greater than 1/2 but less than the length of the line segment.
The next step is to draw an arc using the compass on the first and second points so that the first and second arcs cross above and below the line segment. Mark the intersections of the two arcs with "up" and "down," "right" or "left," or any other designation.
When a line is drawn between the two arc intersections, it not only bisects the original line segment but also forms a perpendicular line segment to it.
The line segment has now been split into two identical parts. You will have separated the line segment into 4 equal sub-segments if you repeat this process on the first and second sub-segments.
Know more about the Line segment at:
brainly.com/question/17374569
#SPJ4
a tree in changes backyard is 3/8 meters tall. It has been growing for 1 3/5 years. What is the unit rate in meters per year? Write your answer as a fraction or a mixed number in simplest form
Please help me i can’t get past this question
i need help w 22 -25
Answer:
-3
Step-by-step explanation:
22-25=-3 because if the first number is smaller than the second number, then the answer is a negative number
△abc is similar to △qrs. also, side ab measures 50 cm, side ac measures 60 cm, and side qs measures 6 cm. what is the measure of side qr ? enter your answer in the box. the measure of side qr = cm
The measure of side QR = 5cm
A triangle is a polygon with three edges and vertices, and with vertices A, B, and C is denoted △ABC.
A triangle has three sides, three angles, and three vertices.
The sum of all internal angles of a triangle is always equal to 180°.
The sum of the length of any two sides of a triangle is greater than the length of the third side.
The given information is:
As triangles ABC and QRS are similar ;
So, AC is similar to QS
AC=60cm and QS=6cm, which means if we divide the length of AC by 10 we get the measure of length QS
AC=60/10
AC= 6cm
And, AB is similar to QR and AB=50cm, if we divide this by 10 we get the measure of QR
QR=50/10
QR=5 cm
To know more about similar triangles:
https://brainly.com/question/7513015
#SPJ4
Find the perimeter, circumference, and area of a square with 15 inches
The perimeter of a square is equal to the sum of all of its sides. Since all sides of a square are equal, to find the perimeter you just need to multiply the length of one side by 4. In this case, the perimeter would be 15 inches * 4 = 60 inches.
The circumference of a square is not defined, as it is a two-dimensional shape and does not have a circumference (which is a measure of distance around the edge of a circular shape).
The area of a square is equal to the length of one side squared. To find the area of a square with sides 15 inches long, you would calculate 15 inches * 15 inches = 225 square inches.
The volume of a cone is 27 cm3. What is the volume of a cylinder that shares the same radius and height as the cone?
HELP NOW PLS!!!
Answer:
81 cm3
Step-by-step explanation:
The volume of a cylinder is three times that of a cone, as long as it has the same radius and height. Their formulas prove it.
Hope this helps
Answer:
81 cm³
Step-by-step explanation:
V-cylinder = πr²h
V-cone = πr²h/3
You can see from the formulas that the volume of a cone is 1/3 the volume of a cylinder with the same radius (r) and height (h).
Therefore:
πr²h/3 = 27
πr²h = 27(3) = 81 = volume of the cylinder
What is formula of segment?
The formula for a line segment is:
segment = √((x2 - x1)^2 + (y2 - y1)^2)
1. Calculate the difference between the x-coordinates: x2 - x1
2. Square the result of step 1: (x2 - x1)^2
3. Calculate the difference between the y-coordinates: y2 - y1
4. Square the result of step 3: (y2 - y1)^2
5. Add the results of step 2 and step 4: (x2 - x1)^2 + (y2 - y1)^2
6. Calculate the square root of the result of step 5: √((x2 - x1)^2 + (y2 - y1)^2)
This final result is the length of the line segment.
The formula for a line segment is relatively straightforward. Begin by calculating the difference between the x-coordinates (x2 - x1) and square the result. Then find the difference between the y-coordinates (y2 - y1) and square the result. Add the two results together and take the square root of the sum. This final result is the length of the line segment. This formula can be used to calculate the length of any line segment, regardless of its size or shape.
Learn more about line segment here
https://brainly.com/question/30072605
#SPJ4
Subtract 5x - 2 from -3x + 4.
(A) -8x + 2
(B) 2x + 2
(C) 8x - 6
(D) -8x + 6
Answer: D
Step-by-step explanation:
-3x + 4 - (5x - 2)
= -3x + 4 - 5x + 2
= -8x + 6
= D
15
Write the answer in each blank.
Of these numbers
1,045 1,405 1,450 1,054
is the largest
is the smallest
Answer: 1450 Largest, 1045 Smallest
Answer: 1,450 is the largest.
1,045 is the smallest.
Step-by-step explanation: written in word form:1,450= One thousand four hundred and fifty.1,045 = one thousand and forty-five.
Please mark on it..
2 - 1 x 99 - 5 + 2 - 4 -5 x 5 divided by 3 x 8
Answer:
1,160
Step-by-step explanation:
Which is the best description of the value 0. 375 in the table? given that the program was targeted at adults, there is a 37. 5% chance that it was recorded. Given that the program was recorded, there is a 37. 5% chance that it was targeted at adults. 37. 5% of the programs are targeted at adults. 37. 5% of the programs are recorded.
Correct Option: Given that the program was targeted at adults, there is a 37.5% chance that it was recorded.
The conditional relative frequency presents the result of the survey that conveys information about the programming and the audience. A conditional relative frequency compares a frequency count to the marginal total that represents the condition of interest. The differences in conditional relative frequencies are used to assess whether or not there is an association between two categorical variables.
The best description of the value 0.357 in the table is; Given that the program was targeted at adults, there is a 37.5% chance that it was recorded.Based on the given table (attached below), we have that the programs are categorized based on the intended audience.
Therefore, the 0.375, indicates that 37.5% of the program targeted at adults are recorded.
Therefore, the correct option is:
Given that the program was targeted at adults, there is a 37.5% chance that it was recorded.
Learn more about relative frequency table here:
brainly.com/question/8470699
#SPJ4
Evaluate
(49/100)^-(1/2)
Answer:
[tex]\dfrac{10}{7}[/tex]
Step-by-step explanation:
To solve this problem, we first have to understand some exponent rules.
Exponent Rules1. When an exponent is a fraction, the exponent's numerator is how many instances of the base there are, and its denominator is the root of those instances.
For example,
[tex]5^{2/3} = \sqrt[3]{5^2} = \sqrt[3]{25}[/tex]
2. When an exponent is negative, the resulting value is reciprocated.
For example,
[tex]3^{-2} = \dfrac{1}{3^2} = \dfrac{1}{9}[/tex]
SolutionUsing these rules, we can rewrite the given expression.
[tex]\left(\dfrac{49}{100}\right)^{-1/2} = \dfrac{1}{\sqrt{\dfrac{49}{100}}}[/tex]
Then, we can simplify the denominator by solving for the square root of the fraction 49/100.
[tex]\dfrac{1}{\sqrt{\dfrac{49}{100}}} = \dfrac{1}{\dfrac{7}{10}}[/tex]
Finally, we can apply the fraction division rule.
[tex]A \div \dfrac{B}{C} = A \times \dfrac{C}{B}[/tex]
[tex]\dfrac{1}{\dfrac{7}{10}} = 1 \cdot \dfrac{10}{7} = \dfrac{10}{7}[/tex]
Convert the following measurement.
g 3 cm kg 3 m 0.0088 =
X
?
The conversion of 0.0088 gr/cm³ is 8.8 kg/m³
The full question is in the attachment. To change the unit of a quantity to another unit is to use the rules that apply to each unit. Rules on mass units
1 kg = 1,000 gramsRules on volume units
1 km³ = 1,000,000,000 m³1 hm³ = 1,000,000 m³1 dam³ = 1,000 m³1 m³ = 1,000 dm³1 m³ = 1,000,000 cm³To convert units from gr/cm³ to kg/m³
1 gr/cm³ = 1 × 1 gr ÷ 1 cm³
1 gr/cm³ = 1 × 0.001 kg ÷ 0.000001 m³
1 gr/cm³ = 1 × 0.001 × 1,000,000 kg/m³
1 gr/cm³ = 1 × 1,000 kg/m³
1 gr/cm³ = 1,000 kg/m³
0.0088 gr/cm³ = 0.0088 × 1,000 kg/m³
0.0088 gr/cm³ = 8.8 kg/m³
Learn more about unit conversions here: https://brainly.com/question/14661857
#SPJ4
Are 3xy and 5yx like terms?
The terms 3xy and 5yx are like terms because they contain the same variable and also have the same degree .
The Like terms are defined as the terms that contain the same variable and also the variables are raised to the same power .
For Example : the terms 3x² and 7x² are like terms as they have the same variable and that variable has same power "2" .
The terms are given as 3xy and 5yx ,
both the terms have variables x and y ,
the power of x and y in first term "3xy" is "1" , and
the power of x and y in the second term "5yx" is also "1" .
So , we can conclude that the terms 3xy and 5yx are like terms .
Therefore , 3xy and 5yx are like terms .
Learn more about Like Terms here
https://brainly.com/question/29172140
#SPJ4
The expression 3x + 2y - 5z can be expanded as 3x + 2y - 5z = 3x + 2y - 5z + 0 = 3x + 2y - 5z + 0 + 0 = 3x + 2y - 5z + 0 + 0 + 0.
The expression 3x + 2y - 5z can be calculated as follows:
3x + 2y - 5z = 3x + 2y - 5z
= 3x + 2y - (5z + 0)
= 3x + 2y - (5z + 0 + 0)
= 3x + 2y - (5z + 0 + 0 + 0)
= 3x + 2y - 5z - 0 - 0 - 0
= (3x + 0) + (2y - 0) - (5z - 0 - 0 - 0)
= 3x + 2y - 5z
The expression 3x + 2y - 5z can be expanded by first adding 0 to each side: 3x + 2y - 5z + 0 = 3x + 2y - 5z + 0. Then, we can add 0 to each side again: 3x + 2y - 5z + 0 + 0 = 3x + 2y - 5z + 0 + 0. This can be done for a third time: 3x + 2y - 5z + 0 + 0 + 0 = 3x + 2y - 5z + 0 + 0 + 0. This expansion can be simplified by replacing the like terms: 3x + 0 + 2y - 0 - 5z - 0 - 0 - 0 = 3x + 2y - 5z. This simplification shows that the expression 3x + 2y - 5z is equal to itself and can be used to calculate the value of the expression.
Learn more about expression herehttps://brainly.com/question/14083225
#SPJ4
all numbers with an absolute value greater than 3 but less than 7
All numbers with an absolute value greater than 3 but less than 7 is {4, 5, 6}.
What is an absolute value?The absolute value of a number is defined as its magnitude irrespective of the sign of the number. To find the absolute value of a real number, we consider only the number and remove the sign. It can only be a non-negative value.
We need to write all numbers with an absolute value greater than 3 but less than 7.
Absolute value greater than 3, that is
|x|>3
Absolute value less than 7, that is
|x|<7
Now, 3<|x|<7
3<x<7
Solution set ={4, 5, 6}
Therefore, all numbers with an absolute value greater than 3 but less than 7 is {4, 5, 6}.
To learn more about an absolute value visit:
https://brainly.com/question/1301718.
#SPJ1
A parallelogram has a base of 5 centimeters (cm) and a height of 12 cm and is stacked on top of a square with a side length of 5 cm. Hannah calculates the area of the parallelogram by multiplying the base and height to get 60 cm2, then dividing by 2 to get 30 cm2. She then multiplies the side length of the square by itself to find the area of the square, 25 cm2. Finally, she adds the areas together to find the area of the figure.
Is Hannah's answer correct? Why or why not?
Select the option that correctly answers both questions.
Responses
No, she incorrectly calculated the area of the parallelogram.
Yes, she correctly added the areas of the two figures to find the area of the composite figure.
No, she mistakenly added the area of the square and triangle when she should have multiplied them.
The correct response to Hannah's method is: No, she incorrectly calculated the area of the parallelogram.
Area of a composite shape.
A composite shape is one formed by more than one plane shape.
A given shape that has its two opposite sides to be equal and parallel is called a parallelogram. The area of a parallelogram can be determined by;
Area of a parallelogram = base x height
Also, a square has the measure of its sides to be equal. The area of a square can be determined by:
Area of a square = length x length
Considering the given question, we have;
i. Area of the parallelogram = base x height
= 5 x 12
Area of the parallelogram = 60 cm^2
ii. Area of the square = length x length
= 5 x 5
Area of the square = 25 cm^2
Total area of the given shape = 60 + 25
= 85 cm^2
Hannah's answer is incorrect. Thus the correct response is No, she incorrectly calculated the area of the parallelogram.
Learn more about area of a composite shape at https://brainly.com/question/27430555
#SPJ1
A data set will always have exactly one mode.
O True O False
False. A data set may have one mode, but it is also possible for a data set to have no mode or multiple modes.
What is the mode of data?A mode of data is defined as an observation with the highest frequency among the values that appear most frequently in the given data.
If no value is repeated, the dataset has no mode. If two or more values appear with the same maximum frequency, then the dataset has multiple modes.
For example, consider the following dataset:
1, 2, 3, 3, 4, 4, 5
In this dataset, both 3 and 4 appear twice, which means that the dataset has multiple modes.
So, in general, it is not always true that a data set will have exactly one mode. It depends on the values in the dataset and their frequencies.
Therefore, the correct answer would be option (B) False.
Learn more about the mode of data here:
brainly.com/question/300591
#SPJ2
A speech that is designed with the general purpose of "to persuade" may also have the effect of informing or entertaining the audience.
a) true
b) false
The statement that a speech that was made to persuade people can also inform or entertain the audience, is A. True.
What is a persuasive speech ?A persuasive speech is one that is given with the intention of convincing the audience to hold a certain belief or behave in a particular way. This includes a wide range of activities like voting, organ donation, recycling, and more.
A powerful persuasive speech convinces the audience to agree with your point of view by establishing your credibility and subject-matter expertise.
Persuasive speaking is particularly listener-centered since the speaker must, in a sense, meet the audience halfway. It is obvious that the speaker cannot totally control the process because persuasion occurs when the listener concurs with what the speaker says. Because of this, effective speaking requires particular attention to audience study.
Therefore, a persuasive speech would also serve to inform or amuse the audience.
Find out more on speeches at https://brainly.com/question/14047451
#SPJ1
Convert to slope intercept form
The equation in slope intercept form is an = 5n - 9
How to convert the equation to slope intercept formFrom the question, we have the following parameters that can be used in our computation:
an = -4 + 5(n - 1)
A linear equation in slope-intercept form can be represented as
an = mn + c
Where
slope = m
y-intercept = c
This means that we start by opening the bracket in an = -4 + 5(n - 1)
an = -4 + 5n - 5
Evaluate the like terms
an = 5n - 9
Hence, the equation is an = 5n - 9
Read more about linear equation at
https://brainly.com/question/14323743
#SPJ1
If points A, B, and C are collinear with A between B and C, then ⟶ AB and ⟶ AC are
opposite rays. If AB + AC = BC , then the points are collinear with A between B
and C. Use the Law of Syllogism to write a true conditional statement.
Using the the law of syllogism to write a true conditional statement we have that
If points A, B, and C are collinear and A is between B and C then AB + AC = BC
What do the law of syllogism say?The law of syllogism, also known as transitivity reasoning, is a valid kind of deductive reasoning that adheres to a predetermined pattern.
It is a logical structure for a formal argument that includes a major/minor premise, and conclusion
For a true conditional statement, the conclusion will always be true when the conditions of the hypothesis are reached.
The given conditional statement is "If points A, B, and C are collinear and A is between B and C then AB + AC = BC"
This condition did not see AB and AC as rays that has direction it accounts for just magnitude
Learn more about conditional statement at:
https://brainly.com/question/29946530
#SPJ1
Consider the following equation. − 16 p + 37 = 49 − 21 p Select the equation that has the same solution as the given equation. A. − 14 + 6 p = − 9 − 6 p B. 2 + 1.25 p = − 3.75 p + 10 C. 3 2 p − 5 + 9 4 p = 7 − 5 4 p D. − 55 + 12 p = 5 p + 16
The equation that has the same solution as the given equation include the following: C. 3/2p − 5 + 9/4p = 7 − 5/4p.
How to determine the equation that has the same solution?From the information provided, we have the following equation:
-16p + 37 = 49 - 21p
Next, we would rearrange the equation by collecting like terms as follows;
-16p + 21p = 49 - 37
5p = 12
p = 12/5
Furthermore, we would evaluate and determine the solution for each of the given equation as follows;
-14 + 6p = -9 - 6p
Collecting like terms, we have:
6p + 6p = -9 + 14
12p = 5
p = 5/12 (Different solution).
2 + 1.25p = -3.75p + 10
Collecting like terms, we have:
1.25p + 3.75p = 10 - 2
5p = 8
p = 8/5 (Different solution).
3/2p − 5 + 9/4p = 7 − 5/4p
Collecting like terms, we have:
3/2p + 9/4p + 5/4p = 7 + 5
5p = 12
p = 12/5 (Same solution).
Read more on equation here: brainly.com/question/15527616
#SPJ1
What are the 3 types of scatter diagram?
We can call a scatter diagram as a scatter plot, Scatter graph, or correlation chart. By including two variables a scatter diagram is drawn where the first variable is independent and the second variable is dependent on the first. Depending on the correlation between them, scatter diagrams can be divided into the following categories :
1) Scatter diagram with no correlation - we can call this diagram the 'Scatter Diagram with Zero Degree of Correlation ' as the variables do not correlate with each other.
2) Scatter diagram with moderate correlation - we can call this diagram as the 'Scatter Diagram with a Low Degree of Correlation' as here the data points are a little closer and a relationship between these variables can be found.
3) Scatter diagram with strong correlation - we can call this diagram as the 'Scatter Diagram with a High Degree of Correlation' as here the data points are closer and a line can be drawn by following their pattern.
Read more about Scatter plot :
https://brainly.com/question/8161247
#SPJ4
21. In any experiment, the cause is called the ________________, while the effect or result is called the _________________. independent variable; dependent variable control; outcome stimulus; placebo random sample; representative sample
Independent variable and dependent variable
What occurs as a result of the independent variable is referred to as a dependent variable.
We anticipate that independent variables will have an impact on dependent variables.
Eg. You plan a study to see if variations in the room's temperature have an impact on students' math test results.
The inside temperature of the space is your independent variable. By making the room cooler for half the participants and warmer for the other half, you can change the temperature.
Test results in mathematics are your dependent variable. Using a standardised test, you measure each participant's math prowess to see if there are any temperature-related differences.
To learn more about independent and dependent variables visit: brainly.com/question/29430246
#SPJ4
The correct statement is: 'In any experiment, the cause is called the dependent variable, while the effect or result is called the independent variable.'
We know that an independent variable is a variable which is not changed by the other variables you are trying to measure.
An independent variable is also known as input variable.
Or in any experiment, the cause is represented by the independent variable.
Whereas a dependent variable is nothing but the variable that changes as a result of the independent variable. It depends on the independent variable of an experimetent.
It is also called as output variable.
Therefore, In any experiment, the cause is called the dependent variable, while the effect or result is called the independent variable.
Learn more about a variable here:
https://brainly.com/question/29430246
#SPJ4
What is the degree of 6 in polynomial?
The degree of 6 in polynomials is 0. The degree of a polynomial is defined as the highest power of the variable that appears in the equation.
When a numerical coefficient is present, as in example 6, the power is considered to be 0. This means that the degree of the polynomial is 0. To find the degree of a polynomial, we need to first identify the variables and their corresponding powers.
For example, if the polynomial is 4x^3 + 6x^2 - 3x + 6, we can identify that the variable is x and the powers are 3, 2, and 1 respectively. The highest power among the three is 3, so the degree of the polynomial is 3.
In example 6, there is no variable present, only a numerical coefficient. Therefore, the power of the coefficient is 0 and the degree of the polynomial is 0.
For more questions like Degree of polynomial click the link below:
https://brainly.com/question/30131439
#SPJ4
Pls help due tomorrow!!!
All the possible values of each expression is given as an inequality as;
0 < a - b < -1
How to solve Linear Inequalities?We are given the inequalities of the domain and range as;
3 < a < 4
4 < b < 5
Thus, we can say that the maximum value of a - b will be the difference between the maximum value of a and the minimum value of b to give;
(a - b)max = 4 - 4
(a - b)max = 0
Similarly, minimum value of a - b will be the difference between the maximum value of b and the minimum value of a to give;
(a - b)min = 4 - 5
(a - b)min = -1
Thus, all possible values would be expressed as;
0 < a - b < -1
Read more about linear inequalities at; https://brainly.com/question/25275758
#SPJ1