Find the student’s error in solving the following inequality.
2 < –3x –4 < 5
6 < –3x < 5
–2 > x > –5/3

The student should have added 4 to all parts (left, middle, and right) to get 6 < –3x < 9.

The student divided 6/–3 incorrectly.

The student should not have switched the direction of the sign in the final step.

Answers

Answer 1

Answer:

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

Step-by-step explanation:

Seperate compound inequalities into system of inequalities: [tex]\left \{ {{-3x-4 > 2} \atop {-3x-4 > 5}} \right.[/tex]

Rearrange unknown terms to the left side of the equation: [tex]-3x > 2+4[/tex]

Calculate the sum or difference: [tex]-3x > 6[/tex]

Reduce the greatest common factor for both sides of the inequality: [tex]-x > 2[/tex]

Divide both sides of the inequality by the coefficient of the variable: [tex]x < -2[/tex]

Rearrange unknown terms to the left side of the equation: [tex]-3x < 5+4[/tex]

Calculate the sum or difference: [tex]-3x < 9[/tex]

Reduce the greatest common factor for both sides of the inequality: [tex]-x < 3[/tex]

Divide both sides of the inequality by the coefficient of the variable: [tex]x > -3[/tex]

Find the intersection: [tex]-3 < x < -2[/tex]

Answer: [tex]-3 < x < -2[/tex]


Related Questions

HELP ME LEJDJSKEJFJXJSJA

Answers

You would need to plug in k for each k in the equation

3k+k^2-3
3(4)+(4)^2-3
12+16-3
=25

Hope this helps :)

What is the lowest denominator of 1/2, 1/3, and 1/5?

Answers

Answer:

6 or 1/6

Step-by-step explanation:

Only in this case, you leave out the 5 denominator as a multiple because it has nothing in common with 2 and 3.

2 x 3 = 6 lowest denominator

therefore,

6.

The school has arranged to have the gym walls plastered. It takes 200 pounds of lime to make one batch of plaster. Each batch of plaster will cover 45 square yards of wall. How much lime will be needed to finish 855 square yards of wall? 21,375 pounds 3,762 pounds 38,475 pounds 3,800 pounds

Answers

Answer:

D or 3800

Step-by-step explanation:

Just divided 855 by 45 then multiplied 200 by 19

Please mark me brainlest

There are 30 books in Me.Perez’s class. He has s shelves and wants to put the same number of books on each shelf. Which expression cab be used to find the number of books that he will place on each shelf?

O1. 30/s
O2. 30+s
O3. s/30
O4. 30-s

Answers

Answer:
1 cuz u would need to divide the number of books by the amount of shelves
Step-by-step explanation:

80 POINTS ANSWER QUICKLY (and correctly)
Consider the figure. A student correctly rotates rectangle PQRS 90° counterclockwise about the origin to obtain rectangle P′Q′R′S′. Which statement about rectangle
P′Q′R′S′ is true?

A. P′Q′¯ is parallel to R′S′¯.

B. P′Q′¯ is parallel to Q′R′¯.

C. Q′R′¯ is parallel to PS¯. ′

D. R′S′¯ is parallel to PQ¯.

Answers

Answer:

C

……………………………………………………………

The true statements about rectangle P′Q′R′S′ are,

A. P'Q' is parallel to R'S'.

C. Q′R′ is parallel to P'S'.

What are transformations?

Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.

Dilation: The preimage is scaled up or down to create the image.

Reflection: The picture is a preimage that has been reversed.

Rotation: Around a given point, the preimage is rotated to create the final image.

Translation: The image is translated and moved a fixed amount from the preimage.

We know rotating a planer figure counterclockwise transforms

(x, y) to (-y, x) and the image remains congruent to the preimage.

Given, A quadrilateral PQRS in which PQ is parallel to SR and PS is parallel to QR.

Rotating PQRS 90 degrees counterclockwise P'Q' is parallel to R'S' and

Q′R′ is parallel to P'S'.

learn more about the translation of figures here :

https://brainly.com/question/17592356

#SPj2

Hey, can someone help me with this. I am having trouble

Answers

i believe its B, a triangle has three lines connecting, and the triangle this question represents are all equal size and equally angled, so if you have a board already, then itll take 2 more yeah? if you have two 45° angles then it will have to connect equally on all sides, jus like the triangle we are looking at.

How many 32-bit integers can be stored in a 16-byte cache line?.

Answers

Answer:

4

Step-by-step explanation:

1 byte = 8 bits
=> 16 byte = 16 x 8 = 128 bits
So it can hold 128 : 32 = 4 integers.

The number of 32-bit integers that can be stored in a 16-byte cache line is 4.

What is unit conversion?

To convert any unit into another is called a unit conversion.

In order to convert units, we need to care about their dimensions their dimension should not be changed.

It is known that,

1 byte = 8 bits

Multiply both sides by 16

16 byte = 128 bits

32 bits will hold 128/32 = 4 integers.

Hence "A 16-byte cache line can hold a maximum of 4 32-bit integers".

To learn more about unit conversion,

brainly.com/question/11543684

#SPJ2

0.62 lowest form
Pls answer! I will mark u as BRAINLIEST ANSWER ​

Answers

Answer:

31/50 is the lowest form of 0.62

31/50 =0.62

Help !! Write the following equation in standard form:
8/7x3+x4+6x+1

Answers

the standard form will be answer b

Can someone help the picture below asap

Answers

1/5 plus 70% mins 100%

Do you know what 1/5 is as a percentage

Is a triangle with side lengths of 14 feet, 11 feet and 8 feet a right triangle why or why not

Answers

Answer:

No , because The Pythagorean equation isn't true.

Step-by-step explanation:

a² = b² + c²

14² = 11² + 8²

196 = 121 + 64

196 ≠ 185

HELP ASAP

what is the median of the data set 92,63,22,80,63,71,44,35?

63

80

92

35

Answers

Answer: 63

Step-by-step explanation:

trust !

How many solutions does the system have​

Answers

Answer:

There are infinate solutions.

Step-by-step explanation:

Plug (3x-8) in for y

5(3x-8)=15x-40

Simplify

15x-40=15x-40

Answer: Infinitely many solutions

Explanation:

If we multiply both sides of the second equation by 5, then we go from y = 3x-8 to 5y = 15x-40. This is exactly identical to the first equation of the system.

Therefore, the two equations are equivalent just in slightly different forms. The two equations graph the same line which leads to infinitely many solutions.

The solutions are of the form (x, 3x-8) where x is any real number.

Since there are infinitely many solutions, we consider this system to be dependent.

Use the rule x + 7 to find the missing number in the table.

X Y
1 8
6 13
8 15
10 17
12


The missing number is

Answers

Step-by-step explanation:

Given:

Rule, x + 7.Table values.

The rule is telling us to add 7 to the given value of x.

Add 7 to 12.

[tex]7 + 12 = 19[/tex]

The missing number is 19.

6 The bar chart shows the A-level mathematics grades achieved by some students one year. A-level grades 120 100- 80 Frequency 60 40 20 om 0 A* A B D E U С Grade a How many students achieved grade B or C? b How many students took A-level mathematics? c Estimate the probability that a student will achieve grade B or C next year.​

Answers

Answer:

very hard very hard

Step-by-step explanation:

other will answer it

Marie was trying to show her friend why -3 × -8 equals a positive product. This is what she wrote:

-3 × 0 = 0
-3 × (?) = 0
-3(8) + -3(-8) = 0
-24 + 24 = 0

What should Marie write in place of the question mark?

Answers

8+8=16

-8 + (-8)= - 16

8+ (-8)=0

-8 + 0 = - 8

have a wonderful day

Hailey lee

Answer -8

Step-by-step explanation:

In Mrs. Nathan's class, there are 8 boys and 10 girls. What is the ratio of girls to boys in Mrs. Nathan's class? A. 5:4 B. 1:8 C. 8:1

Answers

Answer:

A. 5:4

Step-by-step explanation:

There are 10 girls and 8 boys, so the ratio of girls to boys would be 10:8. BUT we are going to simplify it. 10 and 8 both can be divided by 2, so we get a ratio of 5:4.

Answer:

[A] 5:4

Step-by-step explanation:

There are 8 boys and 10 girls.

What is the ratio of girls to boys in Mrs. Nathan's class?

10:8 is the ratio

As you can see that not a answer choice.

That cause you have to simplify.

Find the GCF. [2]

Hence, 10:8 both divide by 2

= 5:4

Thus, Answer = [A] 5:4

[RevyBreeze]

Guys what is the answer to -6x+x?

Answers

Answer:

-5 x

Step-by-step explanation:

Simplify the following:

-6 x + x

Combine like terms in -6 x + x.

x - 6 x = -5 x:

Answer:  -5 x

x stands for one so -6x+1 = -5x

so the answer is -5x

divide £70 in the ratio 4:3

Answers

Answer:

£40:£30

Step-by-step explanation:

As we can see the ratio adds up to 7 since:

4+3=7

So now we know 1 share of the ratio will be:
£70÷7=£10

So 4 shares is £40 and 3 shares is £30

3.6x+5.9−2.2−1.7x
Enter your answer as an expression

Answers

Answer:

1.9x+3.7

Step-by-step explanation:

Combine like terms

3.6x + (-1.7x)= 1.9x

5.9 - 2.2= 3.7

Hence, 1.9x + 3.7.

[RevyBreeze]

Answer:

1.9x+3.7

Step-by-step explanation:

start by combining like terms

(3.6x-1.7x)+(5.9-2.2)

1.9x+3.7

Which equations have the variable term in the equation -6 + 2x = 6x - 9 Isolated to one side of the =, and the constant isolated to the other side? Select all that apply.

Answers

Answer:

See explanation.

Step-by-step explanation:

Since no choices were given I'll do my best to provide equivalent options.

Let's say all the terms with x in them were moved to the left side of the equation, and the rest were moved to the right.

-6+2x = 6x-9

2x-6x = -9+6

Simplifying these gives:

-4x = -3

4x = 3

Based on your question you should look for functions arranged similarly to

-4x = -3

The options for this question might include:

-4x = -3

4x = 3

2x - 6x = -9 + 6

-6 + 9 = 6x - 2x

3 = 4x

Match the side and angle measures of each triangle to its correct classification.

Answers

Step-by-step explanation:

the first one is acute equilateral

the second one is obtuse scalene

the third one is right scalene

the fourth one is obtuse isosceles

Factor completely. Use integers or fractions for any numbers in the expression

Answers

Answer:

(c-[tex]\frac{1}{5}[/tex])(c+[tex]\frac{1}{5}[/tex])

F(x)=3x^2+1

G(x)=2x+1
(F+g)(x)=

Answers

Elaborate more pls?ggh haha Santino

For each value of , determine whether it is a solution to 28=4w.

Answers

[tex][Hello,BrainlyUser][/tex]

Answer:

w = 7

Step-by-step explanation:

Divide both sides of the equation by the same term

[tex]\frac{28}{4}=\frac{4w}{4}[/tex]

Simplify

w = 7

[tex][CloudyBreeze][/tex]

what is the prime factorization for 54???​

Answers

2 ways to get 54 ↓

[tex]2 * 3 * 3 * 3[/tex]

[tex]3 * 18[/tex]

A car travels 180km from Mool River along the N3 highway to the South Coast. It takes the driver 4 hours, Determine the average speed of the car in km per hour.​

Answers

Answer:

45km/h

Step-by-step explanation:

The car took 4 hours to travel 180km -> In an hour, it travel 1/4 of the distance.

1/4 x 180 = 45

So, the average speed of the car is 45km/h.

Solve the following

Answers

Step-by-step explanation:

derivative:zero becouse ever number has daritive is zero

6:

What is the value of the expression 6to the power of 2 + 3to the power of 3 ?

Answers

Answer:

63

Step-by-step explanation:

6² + 3³

= 36 + 27

= 63

Answer:

63. Six times six is thirty six. Three times three times three is twenty seven. Thirty six plus twenty seven is equals to sixty-three

Step-by-step explanation:

=6²+3³

=36+27

=63

Solve the system of equations by multiplying first. Enter the solution as an ordered pair.

x + 3y = -11
4x + 7y = -24​

Answers

Answer:

(1, -4)

Step-by-step explanation:

In this system, multiply the top equation by -4. this will give you

-4x - 12y = 44

4x + 7y = -24

the x values can now cancel out, and add the other values together

-5y = 20

y = -4

now, substitute y = -4 in for one of the starting equations

x + 3(-4) = -11

x - 12 = -11

x = 1

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