Graph x>−12

Question

.(1 point)
Responses

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.

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. A closed point is plotted at negative 12. An arrow extends indefinitely left from the closed point past negative 15 along the number line.

Answer 1

To graph the inequality \( x > -12 \):

• You need to represent the values of \( x \) that are greater than \(-12\).
• Since the inequality is strictly greater than (indicated by the \( > \)), you will use an open point at \(-12\) to show that \(-12\) is not included in the solution.
• You will then draw an arrow extending to the right from the open point at \(-12\) to indicate all values greater than \(-12\).

Based on your descriptions, the correct graph would be:

A number line with an open point plotted at \(-12\), and an arrow extending indefinitely to the right from the open point past \(-5\).