Graph x>11.(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.

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1 answer
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Answer 1

Bot GPT 4-o mini answered
25 days ago

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.