Question

Which compound inequality is represented by the graph?
-5 4 -3 -2 -1 0 1 2 3 4 5

Answer 1

Answer: x < -2 or x ≥ 4.

Explanation:

In the graph, we can see that our set of numbers includes:

All the numbers larger than 4, and the 4 itself (because we have a colored dot in the 4)

Then this range of values can be represented with:

x ≥ 4.

(because this allows x to be larger than 4, or equal than 4)

Our set also includes all the numbers smaller than -2, where the -2 is not included because we have a white dot in the -2.

This can be represented as:

x < -2

Then our set can be described with:

x < -2 or x ≥ 4.

Then the correct option is the third one (counting from the top)