datgeni5quc

2023-02-25

How to graph and solve $|9-4x|\le 15$?

sara9312bo1t

Beginner2023-02-26Added 4 answers

|9-4x| is either 9-4x 0r 4x-9.

The first instance, $9-4x\le 15$. This provides $-4x\le 6$, which means $x\ge -\frac{3}{2}$.

The second instance $4x-9\le 15$. This provides $x\le 6$.

Hence $-\frac{2}{3}\le x\le 6$.

The first instance, $9-4x\le 15$. This provides $-4x\le 6$, which means $x\ge -\frac{3}{2}$.

The second instance $4x-9\le 15$. This provides $x\le 6$.

Hence $-\frac{2}{3}\le x\le 6$.