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
. . . 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
