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-or-equal-to negative 7

x>−7
x greater than negative 7

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

x<−7

1 answer

The number line described indicates that the closed point at \(-7\) means that values of \(x\) can be equal to \(-7\) or less than \(-7\) (since there is an arrow extending indefinitely left). Therefore, this reflects the inequality:

x ≤ -7

So, the correct responses are:

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