Answer:
see attached
Explanation:
You want the graph of the solutions to the inequalities ...
- y + 3x ≥ 0
- 3x - 5y ≤ 10
- y ≤ 4
Graph
The attachment shows the graph of these inequalities. The solution space in which (x, y) values satisfy all of these inequalities is the triangle bounded by the indicated points. The lines between these points are part of the solution space, since all of the inequality symbols include "or equal to."
The solution to y +3x ≥ 0 is to the right of the line with negative slope.
The solution to 3x -5y ≤ 10 is to the left of the line with positive slope.
The solution to y ≤ 4 is below the horizontal line.