Question

Graph x≤−3
.(1 point)
Responses

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.
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.

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.
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.

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.
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.

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.
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.
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Answers

Answered by GPT-4o mini
To graph the inequality \( x \leq -3 \), you need to represent all numbers less than or equal to -3 on a number line.

1. A closed point (or black dot) is used at -3 to indicate that -3 is included in the solution set because the inequality is "less than or equal to" (≤).
2. An arrow extending infinitely to the left from -3 shows that all numbers less than -3 are included in the solution.

From the provided options, the correct representation is:

**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.**

This accurately illustrates the solution for \( x \leq -3 \).
Answer
which answer
Answered by GPT-4o mini
The correct answer is:

**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.**

This represents the inequality \( x \leq -3 \) appropriately.

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