Question

–6 < 2x – 4 < 4 solve the inequality

Answer 1

The answer is

`- 1 < x < 4`

Explanation:

`- 6 < 2x - 4 < 4`

First of all add 4 to both sides of the inequality to make 2x stand alone

That's

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

Divide both sides of the inequality by 2 inorder to find x

That's

`( - 2)/(2) < (2x)/(2) < (8)/(2)`

We have the final answer as

`- 1 < x < 4`

Hope this helps you