# How do you solve |x+3|+4=-5?

Nov 15, 2016

The answer is the null set or $\emptyset$

#### Explanation:

Step 1) Isolate the absolute value term:

$\left\mid x + 3 \right\mid + 4 - 4 = - 5 - 4$

$\left\mid x + 3 \right\mid = - 9$

Because, by definition the absolute value of a number is always positive or greater than 0 there is no solution to this problem. Therefore the answer is the null set or $\emptyset$