What is the inequality shown?

This type of graph is called a segment.

To write the solution set which represents the graph

of a segment, read the segment from left to right.

If you take a look at the segment shown here, we would start with the endpoint on the left which is a -4, our variable x would be in the middle, and we would finish things off with the endpoint on the right, which is 5.

Since we have an open dot at -4, we use a less than sign between the -4 and the x and since we have a closed dot at 5, we use a less tan or equal to sign between the x and the 5.

It's important to understand that when representing a segment by reading it from left to right, you will only use "less than" or "less than or equal to" between the parts, never "greater than" or "greater than or equal to."

So the solution for this graph is read {x: -4 < x ≤ 5}.

hello from mrbilldoesmath!

answer:

the domain is the set { -2, 0, 2, 3}

discussion:

the domain is the set of x values in the ordered pairs (x,y). taking the x, or first component, of each ordered pair gives   -2, 0, 2, 3.

you,

mrb