Question

graph the set {x | -5 ≤ x ≤ 2} on the number line. then, write the set using interval notation.

Explanation:

Step1: Graph on number - line

Mark closed - circles at $x=-5$ and $x = 2$ since the inequality is $\leq$. Then draw a line segment connecting these two points on the number - line.

Step2: Write in interval notation

For the inequality $-5\leq x\leq2$, in interval notation, we use square brackets because the endpoints are included. The interval is $[-5,2]$.

Answer:

The graph has closed - circles at $-5$ and $2$ with a line segment between them on the number - line. The interval notation is $[-5,2]$.