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Question

Solve for x.
|x25x|>|x2||5x|

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Solution

At x=0, x=5, |x25x|=|x2||5x|=0
For x(0,5), |x2||5x|<0 but, |x25x|>0.
For x>5, |x25x|=|x2||5x| as all terms are positive.
For x<0, |x2||5x|<0 but, |x25x|>0.
Hence, |x25x|>|x2||5x| x(,0)(0,5)

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