graph this inequality:\n\n$y \\geq 4$\n\nplot points on the boundary line. select the line to switch between…

graph this inequality:\n\n$y \\geq 4$\n\nplot points on the boundary line. select the line to switch between solid and dotted. select a region to shade it.

graph this inequality:\n\n$y \\geq 4$\n\nplot points on the boundary line. select the line to switch between solid and dotted. select a region to shade it.

Answer

Explanation:

Step1: Identify the boundary line

The boundary line for (y\geq4) is (y = 4). Since the inequality is (\geq) (greater than or equal to), the boundary line is solid.

Step2: Plot the boundary line

The equation (y = 4) is a horizontal line passing through the point ((0,4)). It also passes through points like ((- 2,4)), ((2,4)), ((5,4)) etc.

Step3: Determine the shaded region

For the inequality (y\geq4), we shade the region above the line (y = 4) because for any point ((x,y)) in that region, the (y -)coordinate is greater than or equal to (4).

Answer:

Plot a solid horizontal line (y = 4) (passing through points such as ((-2,4)), ((0,4)), ((2,4)) etc.) and shade the region above this line.