# Math Help - Help with an Inequality

1. ## Help with an Inequality

The problem is:

$2/3 >= (2x - 3)/12 > 1/6$

I would greatly appreciate it if someone had the time to walk me through this problem, step by step. Thanks in advance!

2. Multiply all sides by 12:

$\frac{24}{3} \geq 2x-3 > \frac{12}{6}$

$8 \geq 2x-3 > 2$

$11 \geq 2x > 5$
$\frac{11}{2} \geq x > \frac{5}{2}$