what is 2x – 3 < 7 and 5 – x ≤ 8?

Answers

Answer 1

Answer:

Result for Inequality expression 1:

[tex]x < 5[/tex]

Result for Inequality expression 2:

[tex]x \geq -3[/tex]

Step-by-step explanation:

-Inequality expression 1:

[tex]2x - 3 < 7[/tex]

-Inequality expression 2:

[tex]5 - x \leq 8[/tex]

-Solve inequality expression 1:

[tex]2x - 3 < 7[/tex]

[tex]2x - 3 + 3 < 7 + 3[/tex]

[tex]2x < 10[/tex]

[tex]\frac{2x}{2} < \frac{10}{2}[/tex]

[tex]\boxed {x < 5}[/tex]

-Solve inequality expression 2:

[tex]5 - x \leq 8[/tex]

[tex]5 - 5 - x \leq 8 - 5[/tex]

[tex]- x \leq 3[/tex]

[tex]\frac{-x}{-1} \leq \frac{3}{-1}[/tex]

[tex]\boxed {x \geq -3}[/tex] (inequality sin changed by divide by a negative integer or variable)

Answer 2

The following inequality represents the solution set -

-3 ≤ x < 5.

We have the following compound inequality -

2x – 3 < 7

5 – x ≤ 8

We have to solve for x.

Define Compound Inequality. What are its types ?

A compound inequality (or combined inequality ) is two or more inequalities joined together with OR or AND. There are two types of compound inequalities in the form of conjunction problems and disjunction problems.

According to the question, we have -

1st Inequality -

2x – 3 < 7

Add 3 on both sides -

2x - 3 + 3 < 7 + 3

2x < 10

Divide both sides by 2, we get -

x < 5

2nd Inequality

5 – x ≤ 8

Subtract 5 on both sides -

5 - x - 5 ≤ 8 - 5

- x ≤ 3

Multiply both sides by '-1' -

x ≥ -3

Combining both solutions, we can write it as -

-3 ≤ x < 5

Hence, the following inequality represents the solution set -

-3 ≤ x < 5

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Related Questions

Find the area of the shaded triangle

Answers

Answer:

I think its 8. SORRY IF WRONG

Step-by-step explanation:

I need help with this math problem

Answers

Answer:

29

Step-by-step explanation:

Use PEMDAS

5^2 + 8 ÷ 2

25 + 8 ÷ 2

25 + 4

29

Evaluate the piecewise function

Answers

Answer:

5

Step-by-step explanation:

f(4) falls into the category x > -1 because 4 > -1. Therefore, we use the function f(x) = 2x - 3. f(4) will then equal 2(4) - 3 = 5.

PLEASE HELP!!!

The number 0 is __________________.

a.) an integer, whole number, and natural number
b.) an integer and whole number but not a natural number
c.) a whole number but not an integer or a natural number
d.) a natural number and whole number but not an integer

Answers

I believe the answer is A! Good luck :)
The answer would have to be B

If 2/5 of students are boys. Find the percentage of the girls.
please help me

Answers

Answer:

60

Step-by-step explanation:

First divide 2by 5 and multiply the answer by 100. Then subtract the answer by 100

Solve the Inequality: -2|1-3h|+9<-12

Answers

Answer:

h < -19/6

Step-by-step explanation:

Step 1 : Add -9 to both sides.

-2(|1-3h|)+9<-12

-2(|-3h+1|)+9<-12

Step 1: -2(|-3h+1|)+9+ -9<-12+ -9

          -2(|-3h+1|)<-21

step 2: Divide both sides by 2.

-2(|3h+1|)    -21  

                 -2            -2

|-3h+1|> 21/2

step 3: solve absolute value.

|-3h+1|> 21/2

or either -3h+1-1> 21/2-1 (subtract 1 from both sides)

-3h>19/2

-3h > 19/2 (divide both sides by -3)

 -3       -3

h<-19/6

hope this made sense    

4/5
÷ 1/10

=?

To solve this problem, ask the question
_________________________


The quotient is
______

Answers

Answer: 4/5 ÷ 1/10 = ?

To solve this problem, ask the question: how many tenths are in 4/5

The quotient is 8

Step-by-step explanation:

Look at the picture I included. Since you can make the denominator 5 a 10, by cutting in half the fraction picture, you can count that there are 8 pieces. Also, 8/10 is also a equivalent fraction of 4/5.

Answer:

The second one is 8 The first one is how many tenths are in 4/5

What is the slope of line PQ?
y
10
8
What is the slope of line MN?
M
6
4
How are the two lines related?
Р
Q
x
2
-2
-2
-10 8 6
2
4
6
e
10
4
6
8
N
-10

Answers

Answer:

Step-by-step explanation:

Slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by the formula,

Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope of the line PQ passing through the two points P(-8, 2) and Q(4, 2) will be,

Slope '[tex]m_1[/tex]' = [tex]\frac{2-2}{-8-2}[/tex] = 0

Therefore, slope of the line PQ parallel to the x-axis = 0

Slope of the line MN passing through the points M(8, 6) and N(8, -8) is,

Slope '[tex]m_2[/tex]' = [tex]\frac{6+8}{8-8}[/tex] = ∞

Therefore, slope of the line MN parallel to y-axis is undefined.

Since, angle between the x-axis and y-axis is 90°,angle at the intersection  point between the lines parallel to x and y axis will be 90°.

These lines are perpendicular to each other.

Answer:

B, slope = 0

Step-by-step explanation:

What is the slope of the line passing through (-3, 5) and (5, -3)?

no slope

slope = 0  ✅

slope = 1

slope = -1

I had this same question asked in my school

What are the x- and y-intercepts of f(x) = x2 - 49?

Answers

Answer:

            x-intercepts:  (-7, 0) and (7, 0)              y-intercept:  (0, -49)

Step-by-step explanation:

x-intercepts:  f(x) = 0

               x² - 49 = 0

                x² = 49

         x = -7    ∨  x = 7

Points:  (-7, 0)  and (7, 0)

y-intecept:   y = f(0)

f(0) = 0² - 49 = -49

Point:  (0, -49)

A hawk was flying at an elevation of 215 feet, looking for new hunting ground. It rose 95 feet as it continued to search.
What is the elevation of the hawk now

plz help

Answers

Answer:

310

Step-by-step explanation:

well it was already at 215 as it rose it increased by 95 now we would add that wich equals

215+95=310

Answer:

310 feet

Step-by-step explanation:

215+95=310 feet

A = 3.6·( 3/4 + 2/9 + 5'12 )
B = (84.8·0.125)÷(10.07÷0.95)
C = (1 5 12 − 2 3 )÷0.15+ (14−0.14)÷0.014/99
D = 0.28·4,500÷35· 1/12

what does each letter equal

can you make a proportion from theese numbers

Answers

Answer:

A=5

B=1

C=15

D=3

Step-by-step explanation:you just do the calculations

B, though you can look at the other numbers and find out a working proportion that's a multiple of 10.

Step-by-step explanation:

What scale factor would yuh use on the 14-inch by 21-inch rectangle to return it to its original 2-inch by 3-inch size?

Answers

Answer:

1:7

Step-by-step explanation:

If 2 > -a, then _____.

a > 2
a > -2
a < 2
a < -2

Answers

Answer:

B

Step-by-step explanation:

:))

PLEASE HELP!!!! ASAP

Answers

Answer:

6

Step-by-step explanation:

pythagreom thereom

10^2=8^2+b^2

100=64+b^2

36=b^2

b=6

Christian rented a kayak. The rental rate is $25 flat fee and $12 per hour. He was charged a total of $50. Write an equation that could be used to find h, the numbers of hours he rented the canoe plz help me

Answers

Answer:

50 is greater than or equal to 25 + 12x

Step-by-step explanation:

Hope this helps! If it does, please mark me brainliest. Thank you! ;)

Hello, please help me with this question, thank you very much.

Answers

Answer:

(A) <BAC = <ABC

(B) <C = 68°

( 2 * <A + <C = 180°)

Which of the following has the same remainder when it is divided by 2 as when it is divide by 3?

1. 3

2. 5

3. 7

4. 11

Answers

Answer:

7

Step-by-step explanation:

7÷2=3rem1.and 7÷3=2rem I. so they all have a reminder of 1

In the coordinate plane, the directed line segment from K to N has endpoints at K(–6, –2) and N(8, 3). Point L partitions the directed line segment from K to N in a ratio of 1:2. Point M partitions the directed line segment from L to N in a ratio of 3:1. What are the coordinates of point M? Round to the nearest tenth, if necessary. (–1.3, –0.3) (2.5, 1) (5.7, 2.2) (7, 2.5)

Answers

Answer:

I believe it's  (5.7, 2.2)

I hope it's correct :)

c

Step-by-step explanation:

for the lazy people like me its c

у
5
12
Given that triangle ADC is similar to triangle AEB, find x.

Answers

Answer:

Step-by-step explanation: bruh

Hometown Gym charges a $200 membership fee and $45 per month. Local Gym charges a $50 membership fee and $55 per month. Write an equation to represent the situation. *

Answers

Answer:

=> membership fee = $50

=> monthly fee = $55

=> First month = 105$

=> 50 + 55(x)

=> 50 + 55 (15)

=> 50 + 825

=> 875

Workout gym

=> membership fee = $200

=> monthly fee = $45

=> First month = 245$

=> 200 + 45(x)

=> 200 + 45(15)

=> 200 + 675

=> 875

Step-by-step explanation:

Over the course of a month, Katniss caught three times as many squirrels as deer. She also caught five less rabbits than squirrels. The total number of animals she caught is ten more than four times the number of deer caught. How many rabbits did Katniss catch? - let x = number of deer​​​​ Write an equation for deer plus squirrels plus rabbits equals total: - Write an expression for squirrels:​​​ - Write an expression for rabbits: - Write an expression for the total number of animals:

Answers

Answer:

She caught 10 rabbits

Step-by-step explanation:

Given

Represent Rabbits with R; Squirrels with S and Deer with D

[tex]S = 3D[/tex]

[tex]S = R - 5[/tex]

[tex]S + R+ D = 10 +4D[/tex]

Required

Determine the value of R

[tex]S + R+ D = 10 +4D[/tex]

Solve for R

[tex]R = 10 + 4D - D - S[/tex]

[tex]R = 10 + 3D - S[/tex]

Recall that [tex]S = 3D[/tex]

Substitute 3D for S

[tex]R = 10 + 3D - 3D[/tex]

[tex]R = 10[/tex]

Hence;

She caught 10 rabbits

Find the Value of X.

Answers

Answer:

C

Step-by-step explanation:

∠ TUL + ∠ LUV = ∠ TUV , substitute values

x + 16 + 11x = 172 , that is

12x + 16 = 172 ( subtract 16 from both sides )

12x = 156 ( divide both sides by 12 )

x = 13 → C

if you have a standard deviation what information does that give you about the data?

Answers

Answer:

Step-by-step explanation:

Answer:

if you have a standard deviation what information does that give you about the data?

Step-by-step explanation:

The monthly salary of a man is $2,625. What is his annual income 25 p
by salary? *

Answers

$31500 Thats his moola

Convert 40 minutes to hours

Answers

Answer:

you can't

Step-by-step explanation:

fgkgigigigig

4) X - 12 = -28
Pls help

Answers

Answer:

x-12= -28

x= -28+12

x = -16

Answer:

x= -16

Step-by-step explanation:

The only step needed here is to add 12 to both sides of the equation.

x-12= -28        (-28+12)= -16

+12   +12

x= -16

Can a decimal that has repeating digits after the decimal point be converted into a fraction?

Answers

Yes. If 1.33333333 was turned into a fraction it would be 1/3.

Yes, a decimal has repeating digits after the decimal point is converted into a fraction.

What is a decimal number?

The accepted method for representing both integer and non-integer numbers is the decimal numeral system. Decimal is a term that frequently refers to the method of representing numbers in the decimal system.

A decimal with repeating digits after the decimal point can be converted to a fraction depending on the digits after the decimal point.

For example, let’s have 4/3

When we evaluate this using a calculator, we can see that we have a recurring 3 after the decimal point

Then 4/3 is actually 1.3333333333333

We can see that based on the number after the decimal point we can convert this to 4/3.

To know more about decimal numbers follow

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A man who is 6 ft tall is standing next to a flagpole. The shadow of the man is 3.5 ft and the shadow of the flagpole is 17.5 ft. What is the height of the flagpole?

Answers

Answer: 30 ft

Step-by-step explanation:

Cross multiply:

6 : 3.5

x : 17.5

Then divide 105 with 3.5x.

105/3.5x = 30

7+5+3+y=x+3+12
true or false

Answers

Answer:

Hello! :) I hope I’m correct!!

Step-by-step explanation:

The answer would be TRUE.

Step #1. Okay so first, evaluate the left side of the equal sign.

(7 + 5 + 3 + y = 15)

Step #2. Now, you have to evaluate the right side of the equal sign.

( x + 3 + 12 = 15)

Explaintion of the steps: if 15 = 15 than, 7 + 5 + 3 + y = x + 3 + 12 would be true.

Therefore, the answer to your question is TRUE.

Hope these steps where clear & helpful!! :)

If you have any questions about these steps, feel free to ask!

By: BrainlyAnime ^-^

walmart sells birthday cakes for $18. After 3 days, they markdown the cakes by 45%. What is the discounted price.

Answers

Answer:

The discounted price is $9.90.

Step-by-step explanation:

First, you need to find the amount of 45%.

Step 1- Convert the percent to a decimal.

[tex]\frac{45}{100} = 0.45[/tex]

Step 2- Multiply.

0.45×18= 8.10

Step 3- Subtract.

18-8.10= 9.90

So, the discounted price would be $9.90.

The discounted price is $9.90 for the birthday cakes.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Walmart sells birthday cakes for $18. After 3 days, they mark down the cakes by 45%.

First, you need to find the amount of 45%.

Convert the percent to a decimal.

0.45×18= 8.10

18-8.10= 9.90

So, the discounted price would be $9.90.

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