# How do you solve and graph #abs(w-2)<2#?

##### 1 Answer

Oct 22, 2017

See a solution process below:

#### Explanation:

The absolute value function takes any term and transforms it to its non-negative form. Therefore, we must solve the term within the absolute value function for both its negative and positive equivalent.

Or

Or, in interval notation:

To graph this we will draw two vertical lines at

The line will be a dashed lines because the inequality operators do not contain an **"or equal to"** clause.

We will shade between the two lines to capture the interval solution: