Question

[02.05] Solve for x: 3 − (2x − 5) < −4(x + 2) x < −8 x > −8 x < −3 x > −3

Answer 1

`x \: < \: - 8`

Step-by-step explanation

The given inequality is

`3 - (2x - 5) \: < \: - 4(x + 2)`

Expand:

`3 - 2x + 5 \: < \: - 4x - 8`

Group similar terms, to obtain:

`- 2x + 4x\: < \: - 8 - 5 - 3`

Combine similar terms:

`2x\: < \: - 16`

Divide both sides by 2 to get,

`x \: < \: - 8`