How do you graph 6>=m and m> -2?

Jan 22, 2018

See a solution process below:

Explanation:

We can rewrite these inequalities as:

$m > - 2$; $m \le 6$

Or, in interval notation:

$\left(- 2 , 6\right]$

To graph this we will draw a vertical lines at $- 2$ and $6$ on the horizontal axis.

The line at $- 2$ will be a dashed line because the inequality operator does not contain an "or equal to" clause.

The line at $6$ will be a solid line because the inequality operator does contain an "or equal to" clause.

We will shade between the two lines to illustrate the interval.