Question

graph this inequality:
x < -5
plot points on the boundary line. select the line to switch between solid and dotted. select a region to shade it.

Explanation:

Step1: Identify the boundary line

The inequality is \( x < -5 \). The boundary line is \( x = -5 \), which is a vertical line. Since the inequality is \( < \) (not \( \leq \)), the line should be dotted (to show that points on the line are not included).

Step2: Determine the region to shade

For the inequality \( x < -5 \), we need to shade the region where all \( x \)-values are less than -5. This is the region to the left of the vertical line \( x = -5 \).

Step3: Plot the boundary line and shade

• Draw a dotted vertical line at \( x = -5 \) (passing through \( (-5, y) \) for all \( y \)-values).
• Shade the area to the left of this dotted line.

Answer:

1. Draw a dotted vertical line at \( x = -5 \).
2. Shade the region to the left of the line \( x = -5 \).