Question

y ≥ 4
plot points on the boundary line. select the line to switch between solid and dotted. select a region to shade it.

Explanation:

Step1: Identify boundary line

The inequality is $y \geq 4$, so the boundary line is $y=4$, a horizontal line. Since the inequality includes equality ($\geq$), the line is solid.

Step2: Plot boundary points

Points on $y=4$ have any $x$-value and $y=4$. Examples: $(-10,4)$, $(-5,4)$, $(0,4)$, $(5,4)$, $(10,4)$.

Step3: Determine shaded region

Test a point not on the line, e.g., $(0,0)$: $0 \geq 4$ is false. So shade the region above the line $y=4$, where all $y$-values are 4 or greater.

Answer:

1. Draw a solid horizontal line through all points where $y=4$ (e.g., $(-10,4)$, $(0,4)$, $(10,4)$).
2. Shade the entire region of the coordinate plane that lies above this solid line (all points with $y \geq 4$).