Question

x ≥ -3
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 \( x \geq -3 \). This is a vertical line at \( x = -3 \). Since the inequality is "greater than or equal to", the boundary line should be solid (because the points on the line \( x = -3 \) are included in the solution set).

Step2: Plot the boundary line

To plot \( x = -3 \), we draw a vertical line passing through \( x = -3 \) on the coordinate plane. This line will be parallel to the y - axis.

Step3: Determine the region to shade

For the inequality \( x \geq -3 \), we need to shade the region where the x - values are greater than or equal to - 3. So, we shade the region to the right of the line \( x=-3 \) (including the line itself since the inequality is non - strict).

Answer:

1. Draw a solid vertical line at \( x = - 3 \).
2. Shade the region to the right of the line \( x=-3 \) (including the line).