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Example Solve and graph 3 | 2 - x | ³ 5 Solution : Isolating the absolute value as 3 | 2 - x | ³ 6 | 2 - x | ³ 2 Setting the contents of the absolute value portion for both + ve and - ve values as ( 2 - x ) ³ 2 and -( 2 - x ) ³ 2 ( 2 - x ) ³ 2 and ( 2 - x ) £ -2 - x ³ 0 and - x £ - 4 x £ 0 and x ³ 4 Therefore, x £ 0 and x ³ 4 is the solution 
Example Solve and graph Solution : Setting the contents of the absolute value portion for both positive and negative values as
 We summarize as
For example, | 7 . 5 | = 7 . 5 since 7 . 5 > 0 and | - 6 | = - (- 6) = 6 since - 6 < 0
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7.1 Definition |
. . . is the solution