Thread: Solving inequation with 3 absolute values

Hello,
I have read the sticky thread about solving inequalities, but still I cannot solve this one:


Thanks in advance!

You might have to use the triangle inequality here...



, since by the Triangle Inequality



.


A number is only ever less than its absolute value if it's negative, so

.

Originally Posted by Prove It

You might have to use the triangle inequality here...



, since by the Triangle Inequality



.


A number is only ever less than its absolute value if it's negative, so

.

I understand, thanks a lot

Edit:Unfortunately, I think there is a problem with solving this question with triangle inequation.
When you write -(|x|+|3|) instead of -|x+3| it ruins the inequation because you subtract bigger number.