Question

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

Answer 1

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 2

4(2 - x) > -2x - 3(4x + 1)
8 - 4x > -2x - 12x - 3
-4x + 2x + 12x > -3 - 8
10x > -11
x > -11/10
x > -1.1

Therefore, x = 0 and x = 10 zre solutions to the inequality.