Question

Solve: -7 < 2x+5 < 7

Answer 1

`- 6 < x < 1`

Explanation:

first things first:

`- 7 < 2x + 5 \\ - 7 - 5 < 2x + 5 - 5 \\ - 12 < 2x \\ - 6 < x`

now:

`2x + 5 < 7 \\ 2x + 5 - 5 < 7 - 5 \\ 2x < 2 \\ x < 1`

now the intersection is:

`- 6 < x < 1`