 TASC Math Exam—Solving Linear Inequalities - dummies

# 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. 