Graph x≤−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 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 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.

Question

GPT-4o mini · Answer

The correct way to graph the inequality \( x \leq -3 \) on a number line is to plot a closed point at \(-3\) (indicating that \(-3\) is included in the solution set), and then draw an arrow extending indefinitely to the left (indicating that all values less than or equal to \(-3\) satisfy the inequality).

Based on your descriptions, the correct graph is:

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 shows that all values less than or equal to \(-3\) are included in the solution.