06+-+Sec.+6.4B

**6.4B Absolute Value with Less Than**
A guess-and-check strategy can be used to find the values of x that are good for each absolute value inequality. Draw the solution of each inequality on a number line. If a problem has a less than sign in the inequality, the first step is to clear the absolute value according to the pattern which will be less than. For example, the problem |x|<a, would be the pattern -a<x<a for the less than equality. If you put a number in for a like 5, the inequality would be |x|<5 the pattern would be -5<x<5.

By: Alyssa Fierst, Jessica Kuntz, and Tanner Bowman-King

Example Problems:

Example 1: -2<x< 2
 * x|< 2



Example 2:

Example 3: Practice Problems Graph: Problem 1:

Problem 2:


 * x - 6 |< 2

Problem 3: Graph:


 * x|< -4