Answer:
![x+y>0](https://img.qammunity.org/2020/formulas/mathematics/middle-school/5ey1hc9tp4zxx6zz2hjp9bqje81f6qi5km.png)
![x-y\leq 0](https://img.qammunity.org/2020/formulas/mathematics/middle-school/kfexfzodl11qbjns5nh5wuei1tp755983a.png)
Explanation:
Given that the sum of x and y is greater than 0.
So we can write inequality
.
When y is subtracted from x, the difference is less than or equal to 0.
So the next inequality is
.
Hence required system of inequalities that can be used to solve for x and y is :
![x+y>0](https://img.qammunity.org/2020/formulas/mathematics/middle-school/5ey1hc9tp4zxx6zz2hjp9bqje81f6qi5km.png)
![x-y\leq 0](https://img.qammunity.org/2020/formulas/mathematics/middle-school/kfexfzodl11qbjns5nh5wuei1tp755983a.png)