Question

Which of the following is equivalent to 7-2(x + 2) <-4 - 3(1 - x)?

Answer 1

2 < x

Explanation:

7-2(x + 2) <-4 - 3(1 - x)

Distribute

7 - 2x-4 < -4 -3 +3x

Combine like terms

3 -2x < -7+3x

Add 2x to each side

3 -2x+2x< -7+3x+2x

3 < -7+5x

Add 7 to each side

3+7 < -7+7+5x

10 < 5x

Divide each side by 5

10/ 5 < 5x/5

2 < x