Graph x≤−3

Question

.(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 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.

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 right from the closed point past 2 along the number line.

Answer 1

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

1. Closed Point at -3: Since the inequality includes equal to (≤), you should use a closed circle (or point) at -3 to indicate that -3 is part of the solution set.

2. Arrow extending left: The inequality indicates all values less than -3. Therefore, you should draw an arrow extending indefinitely to the left from -3.

Given this information, the correct representation of the graph would be:

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.