What value of x is in the solution set of - 2(3x + 2) > - 8x + 6?
-6, -5, 5, 6

Solution:

Given: - 2(3x + 2) > - 8x + 6

Let's solve the inequality by isolating the variable x.

⇒ - 6x - 4 > - 8x + 6

Add 4 on both sides

⇒ - 6x - 4 + 4 > - 8x + 6 + 4

⇒ - 6x > - 8x + 10

Add 8x on both sides

⇒ - 6x + 8x > - 8x + 8x + 10

⇒ 2x > 10

Divide both sides by 2

⇒ 2x/ 2 > 10/ 2

⇒ x > 5.

What value of x is in the solution set of - 2(3x + 2) > - 8x + 6?
-6, -5, 5, 6

Summary:

The value of x in the solution set of - 2(3x + 2) > - 8x + 6 is x > 5.