Question

x > -2
plot points on the boundary line. select the line to switch between solid and dotted. select a region to shade it.

Explanation:

Step1: Determine the boundary line

The inequality is \( x > -2 \). The boundary line is \( x = -2 \), which is a vertical line. Since the inequality is "greater than" (not "greater than or equal to"), the boundary line should be dotted.

Step2: Identify the region to shade

For the inequality \( x > -2 \), we need to shade the region where the \( x \)-coordinate of the points is greater than -2. This is the region to the right of the line \( x = -2 \).

Step3: Plot the boundary line (dotted) and shade the region

• Draw a vertical dotted line at \( x = -2 \) (passing through \( (-2, y) \) for any \( y \)-value).
• Shade the area to the right of this dotted line (where \( x > -2 \)).

Answer:

• Boundary line: Dotted vertical line at \( x = -2 \).
• Shaded region: Area to the right of the line \( x = -2 \).