# How do you solve and graph #abs(4n+3)>=18#?

##### 1 Answer

#### 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 solve this as a system of inequalities:

First, subtract

Now, divide each segment by

Or

Or, in interval notation:

To graph, we will draw vertical lines at points

Both line will be solid because there is a **"or equal to"** clause in both inequalities.

We will shade to the left and to the right of the two lines because of the **"less than"** and **"greater than"** clauses in the solutions.