Graph x11.(1 point)

Question

Graph x>11.(1 point)
Responses

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. 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. A closed point is plotted at 11. An arrow extends indefinitely left from the closed point past 5 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 left from the closed 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.

GPT-4o mini · Answer

To graph the inequality $ x > 11 $, you should represent it on a number line as follows: 1. Since the inequality is strict (greater than), you will use an **open point** at 11 to indicate that 11 is not included in the solution. 2. You then draw an **arrow extending indefinitely to the right** of 11 to show that all values greater than 11 are included in the solution. Given the options, the correct depiction of the graph for $ x > 11 $ 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.** This effectively communicates that all numbers greater than 11 (but not including 11 itself) are part of the solution.