Question

x > -1
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 \( x > -1 \). The boundary line for this inequality is \( x = -1 \). Since the inequality is "greater than" (not "greater than or equal to"), the boundary line should be a dotted line.

Step2: Plot the boundary line

On the coordinate plane, the line \( x = -1 \) is a vertical line passing through \( x = -1 \) (all points with \( x \)-coordinate -1, regardless of the \( y \)-coordinate). So we plot a dotted vertical line at \( x = -1 \).

Step3: Determine the region to shade

We need to shade the region where \( x > -1 \). This is the region to the right of the line \( x = -1 \) (since for any point in this region, the \( x \)-coordinate is greater than -1).

Answer:

1. Draw a dotted vertical line at \( x = -1 \).
2. Shade the region to the right of the line \( x = -1 \) (all points where \( x > -1 \)).