Question

How do you graph the inequality `x>=3` or `x< -3`?

Answer 1

See a solution process below:

Explanation:

We will draw vertical lines at `-3` and `3` on the horizontal axis.

The line at `3` on the horizontal axis will be a solid line because the inequality operator contains an "or equal to" clause.

The line at `-3` on the horizontal axis will be a dahsed line because the inequality operator DOES NOT contains an "or equal to" clause and therefore the line is not part of the solution set.

We will shade the area to the right of the line at `3` and to the left of the line at `-3` because their inequality operators are "greater than" and "less than" respectively.