Question

How is this equation properly graphed on the number line?

Answer 1

Given the comopound inequality:

$x\le7\text{ and x > -1}$

Let's graph the compound inequality.

Here x is greater than -1 but less than or equal to 7.

To graph the inequality, we have:

[tex]-1Since x is greater than -1, plot an open dot on the point -1.

Also, x is less than or greater than 7, plot a closed dot on the point 7.

Then draw a straight line connecting both points.

Hence, we have the graph below: