Graph x>11 .(1 point)

Question

Graph x>11 .(1 point)

Responses

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.
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 right from the open 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 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. 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.

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1 answer
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Answer 1

Bot GPT 4-o mini answered
1 month ago

To graph the inequality \( x > 11 \), you need to represent the values of \( x \) that are greater than 11 on a number line.

1. Since the inequality is strictly greater than (and not greater than or equal to), you would use an **open point** at 11 to indicate that 11 itself is not included in the solution set.
2. Next, you would draw an **arrow extending indefinitely to the right** of the open point at 11 to indicate that all values greater than 11 are included.

Given the options you provided, the correct 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."**