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 the boundary line

The inequality is \( y > -4 \). The boundary line is \( y = -4 \), which is a horizontal line parallel to the x - axis passing through \( y=-4 \) on the y - axis. Since the inequality is \( y > -4 \) (not \( y\geq - 4 \)), the boundary line should be a dotted line.

Step2: Plot the boundary line

On the given coordinate grid, find the line \( y=-4 \). This line will pass through all points where the y - coordinate is - 4, for example, (0, - 4), (1, - 4), (- 1, - 4) etc. Draw a dotted line along \( y = - 4 \).

Step3: Determine the region to shade

We need to find the region where \( y > - 4 \). This region is above the line \( y=-4 \) (because for any point in this region, the y - coordinate of the point will be greater than - 4). So we shade the area above the dotted line \( y=-4 \).

Answer:

1. Draw a dotted horizontal line at \( y = - 4 \) (passing through points like (0, - 4), (1, - 4), (- 1, - 4) etc.).
2. Shade the region above the dotted line \( y=-4 \).