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**1. Homework Statement**

Prove -|x|</x</|x|

**2. Homework Equations**

**3. The Attempt at a Solution**

We are trying to prove -|x|</x</|x| (less than or equal to)

This means that we need to show that x>/ -|x| and x</ |x|.

Let x be a real number.

Assume |x|=x if x>0 and -x if x<0

I'm not sure were to go from here, as I cannot use actual values to prove it. Could someone please show me what to do?

Thank you very much