Question

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

Explanation:

Step1: Analyze the inequality -5 ≤ x ≤ 4

The inequality -5 ≤ x ≤ 4 means x is greater than or equal to - 5 and less than or equal to 4.

Step2: Identify graph features

On a number - line, for x ≥ - 5, there is a closed - circle at x=-5 (because of the "≥" sign) and the line extends to the right. For x ≤ 4, there is a closed - circle at x = 4 (because of the "≤" sign) and the line extends to the left. The graph shows the values of x that satisfy both conditions simultaneously.

Answer:

The correct graph is the one with a closed - circle at x=-5, a closed - circle at x = 4, and the line segment between them. Without seeing the full details of each option, if we assume the standard way of graphing inequalities on a number - line, the correct option would be the one that has a solid dot at - 5, a solid dot at 4, and a line connecting them.