Question

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

Answer 1

Answer:

The answer is

$x > \frac{3}{2}$

Step-by-step explanation:

$12( \frac{1}{2} x - \frac{1}{3} ) > 8 - 2x$

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

$\frac{8x}{8} > \frac{12}{8}$

We have the final answer as

$x > \frac{3}{2}$

Hope this helps you

Answer 2

Answer:

x > 3/2

Step-by-step explanation: