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: Identify boundary line

The boundary of $y < -1$ is the horizontal line $y = -1$. Since the inequality is strict ($<$), the line is dotted.

Step2: Plot boundary points

Points on $y=-1$ include $(-10, -1)$, $(0, -1)$, $(10, -1)$ (any $x$-value with $y=-1$ works).

Step3: Determine shaded region

For $y < -1$, shade all areas below the line $y=-1$, as these are the points where the $y$-coordinate is less than -1.

Answer:

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