Question

graph this inequality:
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 Type

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

Step2: Plot Boundary Line

The line \( y = 4 \) is a horizontal line parallel to the x - axis, passing through all points where \( y = 4 \) (e.g., \((0,4)\), \((1,4)\), \((- 1,4)\) etc.).

Step3: Determine Shaded Region

For the inequality \( y\geq4 \), we shade the region above the line \( y = 4 \) (since we want all \( y\) - values greater than or equal to 4).

(Note: Since this is a graphing task, the final answer is the graph with a solid horizontal line at \( y = 4 \) and the region above the line shaded. But in text - based terms, we describe the graphing steps as above.)

Answer:

The graph has a solid horizontal line at \( y = 4 \) (passing through points like \((0,4)\), \((1,4)\), \((-1,4)\) etc.) and the region above the line \( y = 4 \) is shaded.