# How do you solve # |x – 4| > |3x – 1|#?

##### 1 Answer

Nov 23, 2017

Given:

Assuming that

Asserting the same inequality on the squares within the radicals:

Expand the squares:

Combine like terms:

When we multiply both sides by -1, we must change the direction of the inequality:

We know that the above quadratic will be less than 0 between the roots, therefore, we shall find the roots:

The inequality is true between these numbers: