3possible solution x+y>5
x-y<1
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Answer:
To find the possible solutions for the system of inequalities:
1. x + y > 5
2. x - y < 1
We can graph the inequalities on a coordinate plane to visualize the solution region.
First, let's graph the equation x + y = 5. This is the line that separates the plane into two regions: one where x + y is greater than 5, and the other where x + y is less than 5. Since the inequality is greater than, we will shade the region above the line.
Next, let's graph the equation x - y = 1. This is the line that separates the plane into two regions: one where x - y is less than 1, and the other where x - y is greater than 1. Since the inequality is less than, we will shade the region below the line.
The solution to the system of inequalities is the overlapping shaded region.
Here is a visual representation of the solution region:
|\
| \
| \ shaded region
| \
---+----\-----------------
| \
| \
| \
| \
| \
Please note that without specific numerical values for x and y, we cannot determine the exact solution points. The graph provides a visual representation of the possible solution region based on the given inequalities.