Question

graph the inequality on a number line. - 5≤x≤4. choose the graph of the inequality.

Explanation:

Step1: Analyze inequality symbols

The inequality $- 5\leq x\leq4$ has two - part inequalities: $x\geq - 5$ and $x\leq4$. The symbol $\leq$ means the values are included in the solution set, so we use closed - circles on the number line for $x=-5$ and $x = 4$.

Step2: Check number line graphs

We look for a number line graph that has a closed - circle at $x=-5$, a closed - circle at $x = 4$, and a line segment connecting them.

Answer:

The correct graph is the one with a closed - circle at $x=-5$, a closed - circle at $x = 4$, and a line segment between them. Without seeing the exact details of each option in a perfect way from the image, but conceptually, the graph should have filled - in dots at $-5$ and $4$ and a line connecting them on the number line.