Question

Graph x≤−3 .(1 point) Responses 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 left from the open point past negative 8 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 will place a closed (filled) point at -3 to indicate that -3 is included in the solution set.

2. Arrow Extending Left: The inequality \( x \leq -3 \) implies that all values less than or equal to -3 are included. Therefore, you will draw an arrow extending indefinitely to the left of -3.

Based on these explanations, the correct option for the graph of \( x \leq -3 \) is:

• A closed point at -3 with an arrow extending indefinitely left from it.

So, the correct response matches the description of 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.