Question

graph the inequality in the coordinate plane.
$y \geq -2$

Explanation:

Step1: Plot boundary line

First, draw the horizontal line $y = -2$. Since the inequality is $\geq$ (greater than or equal to), the line is solid (not dashed) to show that points on the line are included in the solution.

Step2: Shade the solution region

Shade all the area above the line $y = -2$. This is because all points with a $y$-value greater than or equal to $-2$ satisfy the inequality $y \geq -2$.

Answer:

1. Draw a solid horizontal line through the point $(0, -2)$ (and all points where $y=-2$).
2. Shade the entire region of the coordinate plane that lies on and above this solid line.