Question

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

Answer 1

Explanation:

`4(2 - x) > - 2x - 3(4x + 1)`

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

`8 - 4x > - 14x - 3`

`- 4x + 14x > - 3 - 8`

`10x > - 11`

`x = - 1.1`

Answer 2

`x > (-11)/(10)`

Explanation:

Step 1: Distribute

`4(2 - x) > -2x - 3(4x + 1)`

`(4*2)+(4 * (-x)) > -2x + (-3 * 4x) + (-3 * 1)`

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

Step 2: Combine like terms

`8 - 4x > (-2x - 12x) - 3`

`8 - 4x > -14x - 3`

Step 3: Add 14x to both sides

`8 - 4x + 14x > -14x - 3 + 14x`

`8 + 10x > -3`

Step 4: Subtract 8 from both sides

`10x + 8 - 8 > -3 - 8`

`10x > -11`

Step 5: Divide both sides by 10

`(10x)/(10) > (-11)/(10)`

`x > (-11)/(10)`

Answer:
`x > (-11)/(10)`