# What is meant by a system of inequalities?

##### 1 Answer

Aug 29, 2015

A system of inequalities is a set of inequalities that you deal with all at once.

#### Explanation:

Solving a system of inequalities means graphing each individual inequality and then finding the overlaps of the various solutions.

**EXAMPLE:**

Solve the following system:

**Solution:**

**Step 1:** Solve as many of the inequalities as possible for

**Step 2.** Graph each inequality, shading the area that satisfies the condition.

**(a)** Graph

**(b)** Graph

**(c)** Graph

This is a ">" inequality, so you use a dashed line to show that

**(d)** Shade the area that satisfies all the inequalities.

And you have solved your system of inequalities.