Use the image to answer the question.

Question

A number line ranges from negative 12 to 0 in increments of 1. A closed point is plotted at negative 7. An arrow extends indefinitely left from the closed point past negative 12 along the number line.

What inequality does the number line graph?

(1 point)
Responses

x>−7
x greater than negative 7

x≤−7
x less-than-or-equal-to negative 7

x<−7
x less than negative 7

x≥−7

Answer 1

The number line shows a closed point at \(-7\) with an arrow extending indefinitely to the left. A closed point indicates that the value \(-7\) is included in the solution set.

Since the arrow goes indefinitely left, it means all numbers less than or equal to \(-7\) are included.

Therefore, the correct inequality represented by the number line is:

x ≤ −7

This corresponds to the option "x less-than-or-equal-to negative 7."