Graph x≤−3x≤−3.(1 point)

Question

Graph x≤−3x≤−3.(1 point)

Responses

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.

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.

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.

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 the values of \( x \) that are less than or equal to \(-3\).

1. **Closed Point**: Since the inequality includes equal to (denoted by the "≤"), you will use a closed point at \(-3\) to show that \(-3\) is included in the solution set.

2. **Arrow**: You will then draw an arrow extending indefinitely to the left from \(-3\) to indicate all the numbers less than \(-3\).

Given these details, the correct representation would be:

- A closed point at \(-3\).
- An arrow extending indefinitely left from this point.

Therefore, the correct choice is the one that shows a closed point at \(-3\) with an arrow extending left.