Which of the x values are solutions to the inequality 4(2 – x) > –2x – 3(4x + 1)? Check all that apply.

x = –1.1

x = –2.2

x = 0

x = –10

x = 10

Question

Flor0evvlkmariecat Flor0evvlkmariecat

16-12-2016
Mathematics

Answered

Which of the x values are solutions to the inequality 4(2 – x) > –2x – 3(4x + 1)? Check all that apply.

x = –1.1

x = –2.2

x = 0

x = –10

x = 10

Verified Answer :

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TaeKwonDoIsDead TaeKwonDoIsDead

02-12-2018

Answer:

\(x=0\) and \(x=10\)

Step-by-step explanation:

The inequality is given as: \(4(2-x)>-2x-3(4x+1)\)

Using distributive property [ \(a(b+c)=ab+ac\) ] and a little algebra, we have:

\(4(2-x)>-2x-3(4x+1)\\8-4x>-2x-12x-3\\\)

Taking all the x's to one side and number to another:

\(-4x+2x+12x>-3-8\\10x>-11\\x>\frac{-11}{10}\\x>-1.1\)

Now, of the 5 numbers shown, which of them are GREATER THAN \(-1.1\) ?

They are 0 and 10.

Answer Link

adioabiola adioabiola · Answer 2 · 2021-10-26T06:32:08-04:00

adioabiola adioabiola

26-10-2021

We are to solve the inequality for the value of x

The options x = 0 and x = 10 represent the value of x

Given:

4(2 – x) > –2x – 3(4x + 1)

open parenthesis

8 - 4x > - 2x - 12x - 3

8 - 4x > - 14x - 3

collect like terms

- 4x + 14x > - 3 - 8

10x > -11

divide both sides by 10

x > -11/10

x > -1.1

All values greater than -1.1 represent x

Therefore, from the options, x = 0 or x = 10

Which of the x values are solutions to the inequality 4(2 – x) > –2x – 3(4x + 1)? Check all that apply. x = –1.1x = –2.2x = 0x = –10x = 10

Verified Answer :

Related Questions

Which of the x values are solutions to the inequality 4(2 – x) > –2x – 3(4x + 1)? Check all that apply.

x = –1.1

x = –2.2

x = 0

x = –10

x = 10