Question

Solve: -2 < x + 3 < 5

Answer 1

-5 < x < 2

Explanation:

Subtract 3 from each of the three sides.

-2 < x + 3 < 5

-2 - 3 < x + 3 - 3 < 5 - 3

-5 < x < 2

Answer 2

The answer is

`- 5 < x < 2`

Explanation:

First you have to seperate them :

`- 2 < x + 3`

`x + 3 < 5`

Next you can solve it by moving all the unrelated terms to the other side :

`- 2 < x + 3 \\ - 2 - 3 < x + 3 - 3 \\ - 5 < x \\ x > - 5`

`x + 3 < 5 \\ x + 3 - 3 < 5 - 3 \\ x < 2`