Question

graph {x| - 10 ≤ x ≤ 15}.

Explanation:

Step1: Identify the inequality type

The inequality $- 10\leq x\leq15$ is a compound - inequality representing all real numbers $x$ that are greater than or equal to $-10$ and less than or equal to $15$.

Step2: Determine the endpoints

The left - hand endpoint is $x = - 10$ and the right - hand endpoint is $x = 15$. Since the inequality uses $\leq$, we will use closed circles at both endpoints on the number line.

Step3: Draw the graph

Draw a number line. Place a closed circle at $x=-10$ and a closed circle at $x = 15$. Then draw a solid line segment connecting the two closed circles.

Answer:

On the number line, place closed circles at $-10$ and $15$ and draw a solid line segment between them.