a. The system of linear inequalities is:
```
x + y >= 3
3x + 4y
1. Graph the system of inequalities:
a. \(x + y \geq 3\):
- Plot the line \(x + y = 3\).
- x-intercept: (3, 0)
- y-intercept: (0, 3)
- Shade above the line.
b. 3x + 4y \leq 21\):
- Plot the line \(3x + 4y = 21\).
- x-intercept: (7, 0)
- y-intercept: (0, 21/4)
- Shade below the line.
The overlapping shaded region is the feasible region that satisfies both inequalities. You can use or desmos graphing calculator to better understand and comprehend the graph
To check (1, 4):
1 + 4 ≥ 3
3(1) + 4(4) ≤ 21
This point is a valid solution.
Yes, you can buy 4 pounds of blueberries and 1 pound of strawberries.