Question

graph this inequality:
y < 1
plot points on the boundary line. select the line to switch between solid and dotted. select a region to shade it.

Explanation:

Step1: Determine Boundary Line Type

The inequality is \( y < 1 \). Since the inequality is strict (\(<\) not \(\leq\)), the boundary line \( y = 1 \) should be dotted.

Step2: Plot Boundary Line

The line \( y = 1 \) is a horizontal line parallel to the x - axis, passing through all points where \( y = 1 \) (e.g., \((0,1)\), \((2,1)\), \((- 2,1)\) etc.).

Step3: Determine Shaded Region

For the inequality \( y < 1 \), we shade the region below the line \( y = 1 \) (since we want all \( y\) - values less than 1).

Answer:

1. Draw a dotted horizontal line \( y = 1 \) (passing through \((x,1)\) for any \( x\)).
2. Shade the region below the line \( y = 1 \) (the area where \( y\) - coordinates are less than 1).