SOLUTION: x/|x| < x solve for x.

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Question 984772: x/|x| < x
solve for x.
Found 2 solutions by Fombitz, ikleyn:
Answer by Fombitz(32388)   (Show Source):
You can put this solution on YOUR website!
Graphing the two functions,
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.
.
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Looks for the locations where the red curve lies below the black curve.
You can see that this inequality holds when,
and
So the solution would be U.

Answer by ikleyn(52775)   (Show Source):
You can put this solution on YOUR website!

1. The domain of the function    is the set of all real numbers except of x=0.

2. If x > 0, then = = 1, and the given inequality takes the form   1 < x,   i.e. x > 1.

3. If x < 0, then = = -1, and the given inequality takes the form   -1 < x,   i.e. x > -1.

Answer. The solution of the given inequality is the union of two sets of real numbers:   1) x > 1   and   2) -1 < x < 0.