SOLUTION: I'm confused about how to solve an absolute value equation when there are absolute values on both sides. Here is an example: /x-3/+7is less than /x+5/-2

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Question 114840: I'm confused about how to solve an absolute value equation when there are absolute values on both sides. Here is an example: /x-3/+7is less than /x+5/-2
Answer by stanbon(57962) About Me  (Show Source):
You can put this solution on YOUR website!
/x-3/+7 <= /x+5/-2
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Draw a number line.
Plot the zero-values x=3 and x=-5
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Pick a test value in each of the resulting three x-intervals.
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x= -6 : |-9|+7 <= |-1|-2; false
x= -4 : |-7|+7 <= |1|-2 ; false
x= 4 : |1| +7 <= |9|-2 ; false
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There is no solution for the inequality.
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Cheers,
Stan H.