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. 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 left from the closed point past negative 8 along the number line.

1 answer

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

  1. Closed Point at -3: Since the inequality includes "equal to" (≤), you would plot a closed point at -3 to indicate that -3 is included in the solution set.
  2. Arrow to the Left: Because the inequality is less than or equal to -3, you will draw an arrow extending indefinitely to the left from the closed point at -3.

So, the correct graph would show a closed point at -3 and an arrow extending leftwards from that point.