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. 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 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. 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 would do the following:

1. Open Point at -12: Since the inequality is strict (greater than, not greater than or equal to), you use an open point at -12 to indicate that -12 is not included in the solution set.

2. Arrow Extending to the Right: The inequality \( x > -12 \) includes all numbers greater than -12, so you would draw an arrow extending to the right from the open point at -12.

Based on these points, the correct response is:

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.