SOLUTION: I am stuck on this one question: |2x-8|/4>9 My keyboard has a problem, and the > is actually greater than or equal to.

Algebra ->  Inequalities -> SOLUTION: I am stuck on this one question: |2x-8|/4>9 My keyboard has a problem, and the > is actually greater than or equal to.       Log On


   

Question 827292: I am stuck on this one question: |2x-8|/4>9
My keyboard has a problem, and the > is actually greater than or equal to.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
abs%282x-8%29%2F4%3E=9
abs%282x-8%29%3E=36
2%2Aabs%28x-4%29%3E=36
abs%28x-4%29%3E=18
-
x-4%3E=0 ?
abs%28x-4%29=x-4%3E=18
x%3E=22
-
x-4%3C0 ?
abs%28x-4%29=-%28x-4%29=-x%2B4%3E=18
-x%3E=14
x%3C=-14
-
Either highlight%28x%3C=-14%29 OR highlight%28x%3E=22%29.


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Being sure,
abs%282%28-15%29-8%29%2F4=abs%28-38%29%2F4=38%2F4=9%261%2F2%3E9, true.
-
abs%282%2824%29-8%29%2F4=abs%2840%29%2F4=10%3E9, true.