graph the inequality of y ≥2

Answer 1

To graph the inequality \( y \geq 2 \), follow these steps:

1. Draw the Boundary Line: Start by graphing the line \( y = 2 \). This is a horizontal line that runs parallel to the x-axis and crosses the y-axis at the point (0, 2).

2. Determine the Line Style: Since the inequality is \( y \geq 2 \), you will use a solid line for \( y = 2 \). A solid line indicates that the points on the line are included in the solution set.

3. Shade the Region: Since the inequality is \( y \geq 2 \), shade the area above the line (including the line itself). This shaded region represents all the points where the y-coordinate is greater than or equal to 2.

Here is a simple visual representation:

 y
 |
4|       -----------------
3|       |
2|-------|----------------
1|       |
0|       |
 +----------------------- x
        0            4

In this graph:

• The solid line at \( y = 2 \) is shown horizontally.
• The region above (shaded area) represents the solution to the inequality \( y \geq 2 \).