Solution for Problem 1.8.3

Solve for x:   | x  1 | > 5     

Solve

Step

 | x  1 | > 5

Use this technique when 
|x| >
 Û  x < -a  or x > a

x  1 < -5 or x  1 > 5 Solve each inequality separately.
x  1 + 1 < -5 + 1  First inequality
x < -4
x  1 + 1 > 5 + 1  Second Inequality

x > 6

x < -4  or x > 6

Inequality Notation

Interval Notation

Graph

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