# How do you solve and graph #abs(r+1)<=2#?

##### 1 Answer

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. We can rewrite this problem as:

Subtract

Or

Or, in interval notation

To graph this we will draw vertical lines at

The lines will both be solid lines because their inequality operators both contain an **"or equal to"** clause. This indicates both

We will shade to the regional between the lines to show the solution set: