Question

C. Write the inequality that is shown on the number line.

Answer 1

This type of graph is called a segment.

To write the inequality, read the segment from left to right.

We would start with the endpoint on the left which is a -3,

our variable x would be in the middle, and we would finish

things off with the endpoint on the right, which is 4.

Since we have an open dot at -3, we use a less than

sign between the -3 and the x and since we have a closed at 4,

we use a less than or equal to sign between the x and 4.

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.

So the solution for the inequality is read {x: -3 < x ≤ 4}.

Answer 2

-3< x ≤ 4

Explanation:

There is an open circle at -3, so -3 is not included

There is a closed circle at 4, which means 4 is included

The line is between which means x is between

-3 is less than x which is less than or equal to 4

-3< x ≤ 4