# TASC Math Exam—Solving Linear Inequalities

Some of the questions on the TASC Math exam may ask you to solve an inequality. Of course, an inequality won’t necessarily involve a ‘does not equal’ sign; there are actually five symbols that can be classified as inequalities:

Solving an inequality involves following the same steps you use for solving an equation except for one crucial detail: When you multiply or divide by a negative number, you must flip the inequality symbol. Just like with equations, you can still check your answers by substituting them back into the original.

It’s important to note that < or > results in an open circle

on a number line because that value is not included as a solution;

The following examples illustrate some of the different types of inequality problems that you may encounter.

**Example 1: Linear inequality**

Check: You want to pick a value in the solution set. Because your answer is *x* > 3, you have to pick a value greater than 3. For this example, you use 5.

**Example 2: Linear inequality with negative coefficient**

Check:

**Example 3: Does not equal**

Check: For this type of problem, you can pick any number except 1/2. So for this example, you can pick 1 to check your solution.