Question

How do you solve and write the following in interval notation: `-2|3x+5|+7>=-13`?

Answer 1

`x in [-5, 5/3]`

Explanation:

`-2|3x+5|>=-`. Division by `-2` would reverse the inequality sign.

So, `|3x+5|<=10`

This is the combined inequality for the pair

`3x+5<=10 and -(3x+5)<=10`

Accordingly, `3x<=5 and 3x>=-15`.

Thus, `x<=5/3 and x>=-5`..