SOLUTION: solve the following inequality. Graph the final solution set, Use interval notation 7<|2x+3|&#8804;19

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Question 508567: solve the following inequality. Graph the final solution set, Use interval notation
7<|2x+3|≤19

Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
solve the following inequality. Graph the final solution set, Use interval notation
7<|2x+3|≤19
**
solve for 2 conditions:
..
solve for (2x+3)>0
remove bars
7<2x+3≤19
add-3
4<2x≤16
divide by 2
2 solution:
(2,8]
..
solve for (2x+3)<0
remove bars and affix negative sign
7<-2x-3≤19
add 3
10<-2x≤22
divide by -2 and switch inequality signs
-5>x≥-11
solution:
(-11,-5]

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