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

$3|p+4|+5$

To find:

The solution set for the given inequality.

Solution:

We have,

$3|p+4|+5$

$3|p+4|$

$3|p+4|$

Divide both sides by 3.

$|p+4|$

It can be written as

$-1$

Subtracting 4 from each side, we get

$-1-4$

$-5$

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

Therefore, the correct option is A.