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