Question

graph.
x ≤ -805
plot the endpoints. select an endpoint to change it from closed to open. select the middle of
the segment, ray, or line to delete it.
-830 -825 -820 -815 -810 -805 -800
submit

Explanation:

Step1: Identify the endpoint

The inequality is \( x \leq -805 \), so the endpoint is at \( -805 \). Since the inequality is "less than or equal to", the endpoint should be a closed circle (filled dot) at \( -805 \).

Step2: Determine the direction

For \( x \leq -805 \), we shade all values to the left of \( -805 \) (including \( -805 \)). So we draw a ray starting at \( -805 \) (closed circle) and extending to the left (towards more negative numbers).

Step3: Plot on the number line

Locate \( -805 \) on the number line (the tick mark labeled \( -805 \)). Place a closed circle there, then draw a ray going to the left (following the direction of the arrow on the left side of the number line).

Answer:

To graph \( x \leq -805 \):

1. Place a closed circle (filled dot) at \( -805 \) (the tick mark for \( -805 \) on the number line).
2. Draw a ray extending to the left from \( -805 \) (toward \( -830, -825, \dots \)) to represent all values of \( x \) less than or equal to \( -805 \).