Proving -|x|<x<|x|: A Homework Statement

[chocolatelover]

Homework Statement

Prove that -|x|< or equal to x< or equal to|x|

Homework Equations

The Attempt at a Solution

I know that it is true by this example:

x=5

-5<or equal to |5|<or equal to |5|

it also hold true for x=-5

Could someone please show me or give me a hint on how to prove this?

Thank you very much

 

[e(ho0n3]

Divide and conquer: Analyze what happens when x > 0, x < 0 and x = 0.

 

[chocolatelover]

Thank you very much

Regards