Question

How do you graph the inequality `-4<x<=4`?

Answer 1

See a solution process below:

Explanation:

We can rewrite this system of inequalities as:

`x > -4` and `x <= 4`

To graph this we will draw vertical lines at `-4` and `4` on the horizontal access to mark the boundaries of the inequalities.

The line at `-4` will be a dashed line because the inequality operator does not contain an "or equal to" clause which means the line is not part of the solution set.

The line at `4` will be a solid line because the inequality operator does contain an "or equal to" clause which means the line is part of the solution set.

We will shade between the two lines.