Graph x−12

Question

Graph  x>−12
 .(1 point)
Responses

A number line ranges from negative 15 to negative 5 in increments of 1. A closed point is plotted at negative 12. An arrow extends indefinitely left from the closed point past negative 15 along the number line.
Image with alt text: A number line ranges from negative 15 to negative 5 in increments of 1. A closed point is plotted at negative 12. An arrow extends indefinitely left from the closed point past negative 15 along the number line.

A number line ranges from negative 15 to negative 5 in increments of 1. A closed point is plotted at negative 12. An arrow extends indefinitely right from the closed point past negative 5 along the number line.
Image with alt text: A number line ranges from negative 15 to negative 5 in increments of 1. A closed point is plotted at negative 12. An arrow extends indefinitely right from the closed point past negative 5 along the number line.

A number line ranges from negative 15 to negative 5 in increments of 1. An open point is plotted at negative 12. An arrow extends indefinitely right from the open point past negative 5 along the number line.
Image with alt text: A number line ranges from negative 15 to negative 5 in increments of 1. An open point is plotted at negative 12. An arrow extends indefinitely right from the open point past negative 5 along the number line.

A number line ranges from negative 15 to negative 5 in increments of 1. An open point is plotted at negative 12. An arrow extends indefinitely left from the open point past negative 15 along the number line.
Image with alt text: A number line ranges from negative 15 to negative 5 in increments of 1. An open point is plotted at negative 12. An arrow extends indefinitely left from the open point past negative 15 along the number line.

GPT-4o mini · Answer

To graph the inequality $ x > -12 $, you need to represent it correctly on a number line. 1. Since the inequality is $ x > -12 $, this means that -12 is not included in the solution set. Therefore, you should use an **open point** at -12. 2. The arrow should extend to the right from -12, indicating that all numbers greater than -12 are included in the solution. Based on these points, the correct graph would be: **A number line ranges from negative 15 to negative 5 in increments of 1. An open point is plotted at negative 12. An arrow extends indefinitely right from the open point past negative 5 along the number line.** This is the correct representation of the inequality $ x > -12 $.