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ABSOLUTE VALUE INEQUALITIES #3

Directions:  Solving absolute value inequalities requires two different strategies.  To solve absolute value inequalities with a “greater than” symbol, you should split the problem into two separate inequalities, like solving an absolute value equation.  This strategy is demonstrated in Example 1.  For inequalities with a “less than” symbol, you can solve the two inequalities at the same time, as shown in Example 2.

Example 1:									
     x + 7 < -10        or      x + 7 > 10	(subtract 7 from both sides)               -10 < x + 4 < 10  (subtract 4 from each part)
           x < -17          or             x > 3                                                             -14 < x < 6                                        				

1)	          	                              2)     		                               3)      	 

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4)	          	                              5)     		                               6)      	 

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7)	          	                              8)     		                               9)      	 

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