Question

Solve the following compound inequality. 2x - 2 > -6 OR -2x < -12

A. x > 6
B. x > -2
C. -2 < x < 6
D. x < -2 OR x > 6'

Answer 1

B. x > -2

Explanation:

2x - 2 > -6 add 2 to both sides

2x - 2 + 2 > - 6 + 2

2x > -4 divide both sides by 2

2x/2 > -4/2

x > -2

or

-2x < -12 change the signs

2x > 12 divide both sides by 2

2x/2 > 12/2

x > 6

We have x > -2 or x > 6. Therefore x > -2.