Graph x>−12 .(1 point)

Question

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. 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.
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.

Answer 1

To graph the inequality \( x > -12 \), you need to represent all the numbers greater than -12 on the number line.

1. Since the inequality is greater than (not greater than or equal to), you will use an open point at -12, indicating that -12 is not included in the solution set.
2. You will draw an arrow extending to the right from -12 to show that all values greater than -12 are included in the solution.

Therefore, the correct response 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.