Answer:
The graph of the inequality y < -1 in the coordinate plane:
The inequality y < -1 defines the set of all points (x,y) such that y is less than -1.
To graph this, we draw a horizontal line at the y-value of -1, since this is the boundary defined by the inequality.
All points below this line, in the region where y is less than -1, are solutions to the inequality.
The graph would look like a horizontal half-plane below the line y = -1.
Step-by-step explanation:
Graphing the inequality y < − 1 in the coordinate plane involves shading the region below the line y = − 1, excluding the line itself. Here's how you can graph it:
1. Draw a horizontal line at y = − 1.
2. Shade the region below the line.
The line y = − 1 is a horizontal line that goes straight across the y-axis at
y = - 1. Since the inequality is y < − 1, we don't include the line itself, so the shading is below the line.
The graph will look like a shaded region below and parallel to the x-axis.
