Solving an absolute value inequality is nearly the same as solving an equation. In fact, we solve the equation first using the x-intercept or intersection of graphs method, then analyze the graph to determine the solution set of the inequality. For example, let's solve the inequality
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using the intersection method. First replace the inequality symbol with an
equality: 
. Then define the left
side of the inequality to be a function Y1 and the right side to be function Y2. This equation
was solved in the previous example and the solutions were determined to be x = -4.5 and x = 3.5.
Set the WINDOW as shown and graph both functions.
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