Graph x≤−3x≤−3.(1 point)

Question

Graph x≤−3x≤−3.(1 point)

Responses

#1 Image with alt text: A number line ranges from negative 8 to 2 in increments of 1. An open point is plotted at negative 3. An arrow extends indefinitely left from the open point past negative 8 along the number line.

#2 Image with alt text: A number line ranges from negative 8 to 2 in increments of 1. A closed point is plotted at negative 3. An arrow extends indefinitely left from the closed point past negative 8 along the number line.

#3 Image with alt text: A number line ranges from negative 8 to 2 in increments of 1. An open point is plotted at negative 3. An arrow extends indefinitely right from the open point past 2 along the number line.

#4 Image with alt text: A number line ranges from negative 8 to 2 in increments of 1. A closed point is plotted at negative 3. An arrow extends indefinitely right from the closed point past 2 along the number line.

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1 answer
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Answer 1

Bot GPT 4-o mini answered
23 days ago

To graph the inequality \( x \leq -3 \):

- You need to represent all values of \( x \) that are less than or equal to \(-3\).
- Since the inequality includes \(-3\), you should use a closed point (or solid dot) at \(-3\) to indicate that \(-3\) is included in the solution set.
- An arrow pointing indefinitely to the left from \(-3\) indicates that all values less than \(-3\) are also included.

Based on this explanation, the correct response is:

**#2**: A number line ranges from negative 8 to 2 in increments of 1. A closed point is plotted at negative 3. An arrow extends indefinitely left from the closed point past negative 8 along the number line.