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Example    Solve and graph 3 | 2 - x | 5

Solution :   Isolating the absolute value as

3 | 2 - x | 6

| 2 - x | 2

Setting the contents of the absolute value portion for both + ve and - ve values as

( 2 - x ) 2 and -( 2 - x ) 2

( 2 - x ) 2 and ( 2 - x ) £ -2

- x 0 and - x £ - 4

x £ 0 and x 4

Therefore, x £ 0 and x 4 is the solution

Example     Solve and graph

Solution :   Setting the contents of the absolute value portion                     for both positive and negative values as

. . . is the solution

We summarize as

For example, | 7 . 5 | = 7 . 5 since 7 . 5 > 0

and | - 6 | = - (- 6) = 6 since - 6 < 0

Index

7.1 Definition
7.2 Simultaneous Equations
7.3 Inequations (Inequalities)
7.4 Absolute Values

Chapter 8

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