SOLUTION: Solve the following inequalities and express the answers using interval notation: |14-2x|+5≤7

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Question 1065726: Solve the following inequalities and express the answers using interval notation:

|14-2x|+5≤7
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
abs%2814-2x%29%2B5%3C=7

abs%2814-2x%29%3C=2

2%2Aabs%287-x%29%3C=2

abs%287-x%29%3C=1


IF 7-x IS NON-NEGATIVE
7-x%3C=1
7%3C=1%2Bx
6%3C=x
x%3E=6


IF 7-x IS NEGATIVE
-%287-x%29%3C=1
-7%2Bx%3C=1
x%3C=8

highlight%286%3C=x%3C=8%29
Check around the ciritical values to be sure.