# How do you solve and graph -1/3x-2<=-4?

Jul 10, 2017

$x \ge + 6$

#### Explanation:

$- \frac{1}{3} x - 2 \le - 4 \to \frac{1}{3} x + 2 \ge 4$

$\frac{x}{3} \ge 4 - 2$

$\frac{x}{3} \ge 2$

$x \ge 6$

The graph of $x \ge 6$ is all points on the $x y -$ plane for which $x \ge 6 \forall y$ (A vertical line through the point $x = 6$ and all x greater than 6) as shown below.

graph{(-x/3)-2<=-4 [-10, 10, -5, 5]}