Question

Solve the inequality. 3(x – 1) < -3(2 – 2x)

A) x > 1
B) x < 1
C) x > -1
D) x < -1

Answer 1

A) x > 1

Explanation:

3(x – 1) < -3(2 – 2x)

Distribute

3x -3 < -6 +6x

Subtract 3x from each side

3x-3x -3 < -6 +6x-3x

-3 < -6+3x

Add 6 to each side

-3+6 < 3x

3<3x

Divide by 3

3/3 < 3x/3

1 <x