Question

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 \( y \geq 2 \).