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'

Step-by-step 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.

step-by-step explanation: