Question

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

Answer 1

The answer is

`x > (3)/(2)`

Explanation:

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

Expand the terms in the bracket

That's

`6x - 4 > 8 - 2x`

Move - 2x to the left side of the inequality to make it positive

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

Add 4 to both sides

That's

`8x - 4 + 4 > 8 + 4 \\ 8x > 12`

Divide both sides by 8

`(8x)/(8) > (12)/(8)`

We have the final answer as

`x > (3)/(2)`

Hope this helps you