Solve the inequality.

6x - 2 (x + 1) > 0

A) x > 2

B) x < 2

C) x > 1/2

D) x < 1/2

6x-2 (x+1) >0

6x-2x+2>0

4x+2>0

4x+2-2>-2

4x<1/2

Open the brackets:

6x - 2x - 2 > 0

Subtract the like terms:

4x + 2 > 0

Add 2 on both sides of the inequality sign:

4x - 2 + 2 > 0 + 2

4x > 2

Divide by 4 on both sides of the inequality sign to be left with x:

4x/4 > 2/4

Therefore the answer is:

D) x > 1/2