Use the image to answer the 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 less than negative 7

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

x≥−7
x greater-than-or-equal-to negative 7

x>−7

1 answer

The number line indicates that there is a closed point at \(-7\) and an arrow extending indefinitely to the left, which represents all numbers less than or equal to \(-7\). Therefore, the correct inequality that the number line graph represents is:

x ≤ -7 (x less than or equal to negative 7).