# Solve |2x+1| <= |x-3| for x

by danago
Tags: inequality
 PF Gold P: 1,125 $$\left| {2x + 1} \right| \ge \left| {x - 3} \right|$$ Now, i must solve for x. I could easily do it by graphing it on my calculator, and get an answer of $$x \le - 4,x \ge \frac{2}{3}$$. How can i do it algebraically? Thanks in advance, Dan.