Question

Solve the inequality 12(1/2x-1/3)>8-2x

Answer 1

x > 1.5

Explanation:

12(1/2x - 1/3) > 8 - 2x Distribute

6x - 4 > 8 - 2x

+2x + 2x Add 2x to both sides

8x - 4 > 8

+ 4 + 4 Add 4 to both sides

8x > 12 Divide both sides by 8

x > 1.5

Answer 2

x >3/2

Explanation:

12(1/2x-1/3)>8-2x

Distribute

6x -4 > 8-2x

Add 2x to each side

6x-4 +2x>8-2x+2x

8x -4> 8

Add 4 to each side

8x-4+4 >8+4

8x> 12

Divide each side by 8

8x>12/8

x >3/2