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 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 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.

1 answer

To graph the inequality \( x \leq -3 \), you need to represent all values less than or equal to -3 on a number line.

  1. Since the inequality is "less than or equal to," you will use a closed point (-3) to indicate that -3 is included in the solution set.
  2. You will then draw an arrow extending indefinitely to the left from -3 to represent all numbers less than -3.

So, the correct response is:

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.