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.

Question

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

Answer 1

The description states that there is a closed point at -7 and an arrow extending indefinitely to the left. This means that the solution includes -7 and all numbers less than -7.

Thus, the correct inequality that describes this situation is:

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

Answer 2

Graph x>11
.(1 point)
Responses

A number line ranges from 5 to 15 in increments of 1. A closed point is plotted at 11. An arrow extends indefinitely right from the closed point past 15 along the number line.
Image with alt text: A number line ranges from 5 to 15 in increments of 1. A closed point is plotted at 11. An arrow extends indefinitely right from the closed point past 15 along the number line.

A number line ranges from 5 to 15 in increments of 1. An open point is plotted at 11. An arrow extends indefinitely left from the open point past 5 along the number line.
Image with alt text: A number line ranges from 5 to 15 in increments of 1. An open point is plotted at 11. An arrow extends indefinitely left from the open point past 5 along the number line.

A number line ranges from 5 to 15 in increments of 1. An open point is plotted at 11. An arrow extends indefinitely right from the open point past 15 along the number line.
Image with alt text: A number line ranges from 5 to 15 in increments of 1. An open point is plotted at 11. An arrow extends indefinitely right from the open point past 15 along the number line.

A number line ranges from 5 to 15 in increments of 1. A closed point is plotted at 11. An arrow extends indefinitely left from the closed point past 5 along the number line.

Answer 3

To graph the inequality \( x > 11 \), we need to represent the values that are greater than 11. This means:

• We should place an open point at 11 (since the inequality does not include 11).
• Then, we should draw an arrow extending indefinitely to the right from the open point, indicating all the values greater than 11.

Thus, the correct option is:

A number line ranges from 5 to 15 in increments of 1. An open point is plotted at 11. An arrow extends indefinitely right from the open point past 15 along the number line.