# How do you solve #abs(z+5)<3#?

##### 2 Answers

#### Answer:

See the entire solution process below:

#### Explanation:

The absolute value function transforms any negative or positive term into its positive form. Therefore, we must solve the term within the absolute value for both its positive and negative solution. And, because this is an equality we must solve it as a system of inequalities written as:

Now, subtract

#### Answer:

See below.

#### Explanation:

Just a thought but this looks like a complex number problem, in which case

If so, it follows that the **inequality** is the **inside** of that circle in the complex plane.