# How do you solve  y ≥ 3x + 6?

Jul 7, 2015

You could draw a graph or rewrite the inequality in terms of $y$ as a variable for $x$, but fundamentally $y \ge 3 x + 6$ is a solution form.

#### Explanation:

As a graph
graph{y>=3x+6 [-10, 10, -5, 5]}

Rewritten, solving for $x$ in terms of $y$
$\textcolor{w h i t e}{\text{XXXX}}$$y \ge 3 x + 6$

$\textcolor{w h i t e}{\text{XXXX}}$$y - 6 \ge 3 x$

$\textcolor{w h i t e}{\text{XXXX}}$$\frac{y}{3} - 2 \le x$
or
$\textcolor{w h i t e}{\text{XXXX}}$$x \le \frac{y}{3} - 2$