Question

What is the solution set of this inequality? 3|p + 4| + 5 < 8 (–5, –3) (–3, 0) (0, –5) (3, 5)

Answer 1

Given:

The inequality is

`3|p+4|+5<8`

To find:

The solution set for the given inequality.

Solution:

We have,

`3|p+4|+5<8`

`3|p+4|<8-5`

`3|p+4|<3`

Divide both sides by 3.

`|p+4|<1`

It can be written as

`-1<p+4<1`

Subtracting 4 from each side, we get

`-1-4<p+4-4<1-4`

`-5<p<-3`

The solution set of the given inequality is (-5,-3).

Therefore, the correct option is A.