Solving Absolute-Value Inequalities continued You can use a similar method to solve absolute-value inequalities that involve a greater-than symbol (>). As always, the first step is to isolate the absolute-value expression. Then work with a compound inequality. Solve | x - 51 - 4> - 1. Step 1: Isolate the absolute-value expression. 1x -51- 4>-1 + 4 +4 Add 4 to both sides. 1x -51 3 Step 2: Solve a compound inequality. [x - 5/ > 3 means x - 5 3. +5 +5 +5+5 Solve each inequality. X 8 Graph the solution as shown. Solve each inequality and graph the solutions. 5. 4 + |x/ 25 6. 2| x + 2| > 6 - 6 -5-4-3-2 -1 7. | x1 - 7> - 3 8. | x - 41+528 - 5 - + 2 8 4 8 8 7 8 9 10 17