# How do you solve and graph 1/2x<=6?

Oct 17, 2017

See a solution process below:

#### Explanation:

Multiply each side of the inequality by $\textcolor{red}{2}$ to solve for $x$ while keeping the inequality balanced:

$\textcolor{red}{2} \times \frac{1}{2} x \le \textcolor{red}{2} \times 6$

$\frac{\textcolor{red}{2}}{2} x \le 12$

$1 x \le 12$

$x \le 12$

To graph this we will draw a vertical line at $12$ on the horizontal axis.

The line will be a solid line because the inequality operator contains an "or equal to" clause.

We will shade to the left side of the line because the inequality operator also contains a "greater than" clause:

graph{x<=12 [-20, 20, -10, 10]}