MODERATE EXERCISES-Inequalities

(3) Solve the following absolute value 
inequalities.  Also, graph the solution on the number line.

 (a) 5  |x + 1|

 (b) |4x + 20|  12

 (c) 

 (d) |x2 - 2x|  0 



HINT: Recall the properties of absolute value inequalities:
 |x| < c ==> -c < x < c (where c is positive) 

|x| > c ==> x > c or x < -c (c positive) 

Use these to rewrite each inequality without absolute value signs.  Then solve the resulting inequality (or inequalities).


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