Question

y ≥ 7
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 $y \geq 7$, so the boundary line is $y=7$, a horizontal line. Since the inequality includes equality ($\geq$), the line is solid.

Step2: Plot boundary points

Points on $y=7$ have any $x$-value and $y=7$. Examples: $(-10,7)$, $(0,7)$, $(10,7)$.

Step3: Determine shaded region

Test a point (e.g., $(0,8)$): $8 \geq 7$ is true, so shade the region above the line $y=7$.

Answer:

1. Draw a solid horizontal line through all points where $y=7$ (e.g., $(-10,7)$, $(0,7)$, $(10,7)$).
2. Shade the entire region of the coordinate plane that lies above this solid line.