Question

Solve the following compound inequality 4

Answer 1

`0 < x < 8`

Explanation:

Given

`4 < x + 4 < 12`

Required

Solve

`4 < x + 4 < 12`

Split:

`4 < x + 4` and
`x + 4< 12`

Collect Like Terms

`4 - 4 < x` and
`x < 12- 4`

`0<x` and
`x < 8`

Combine

`0 < x < 8`