Question

y < -1
plot points on the boundary line. select the line to switch between solid and dotted. select a
region to shade it.
(grid with x-axis from -10 to 10 and y-axis from -10 to 10)

Explanation:

Step1: Identify the boundary line

The inequality is \( y < -1 \). The boundary line is \( y = -1 \), which is a horizontal line. Since the inequality is strict (\(<\) instead of \(\leq\)), the line should be dotted.

Step2: Determine the region to shade

For the inequality \( y < -1 \), we shade the region where the \( y \)-values are less than \(-1\). This is the area below the line \( y = -1 \).

To plot the boundary line (dotted) at \( y = -1 \), we can mark points like \((0, -1)\), \((1, -1)\), \((-1, -1)\), etc. Then shade the area below this dotted line.

Answer:

1. Draw a dotted horizontal line at \( y = -1 \) (passing through points with \( y \)-coordinate \(-1\) like \((0, -1)\), \((2, -1)\), etc.).
2. Shade the region below this dotted line (where \( y \)-values are less than \(-1\)).