# How do you solve #absx> x - 1 #?

##### 1 Answer

May 24, 2015

When dealing with moduli it's often useful to split into cases where the enclosed value changes sign. For this example, that means examine the

Case (a) :

If

Add

Divide both sides by

Since we're dealing with the case

Case (b) :

If

Subtract

...which is always true.

Putting these two cases together, we find that the original inequality is satisfied for all