Question

graph the set {x | -2 ≤ x ≤ 1} on the number line. then, write the set using interval notation.

Explanation:

Step1: Identify endpoints

The endpoints of the set are -2 and 1. Since the inequality is $\leq$, we use closed - circles on the number line for both endpoints.

Step2: Graph on number line

On the number line, place a closed - circle at -2 and a closed - circle at 1, and draw a line segment connecting them.

Step3: Write in interval notation

For a set where $a\leq x\leq b$, the interval notation is $[a,b]$. Here $a = - 2$ and $b = 1$, so the interval notation is $[-2,1]$.

Answer:

On the number line: Place closed - circles at -2 and 1 and draw a line segment between them.
In interval notation: $[-2,1]$