Solve the Following System of Inequalities Graphically
`x + y le 9, x gt y, xge 0, y ge 0 `

Explanation

To solve the system of inequalities graphically, we will follow these steps:

### Step 1: Graph the first inequality \(x + y \leq 9\)

1. **Find the intercepts**:
- Set \(x = 0\): \(0 + y = 9 \Rightarrow y = 9\) (Point: (0, 9))
- Set \(y = 0\): \(x + 0 = 9 \Rightarrow x = 9\) (Point: (9, 0))

2. **Plot the line**:
- Draw a line connecting the points (0, 9) and (9, 0).

3. **Determine the region**:
- Since the inequality is \(x + y \leq 9\), shade the area below the line, including the line itself (since it is less than or equal to).