To graph the inequality, first, we notice that since
![y>-x+2](https://img.qammunity.org/2023/formulas/mathematics/college/gv5yqwlrrx2el3cku5cqfsv3viaulpggh1.png)
is a strict inequality, meaning it is not inclusive, then the line that will be the border or the shaded region will be dashed.
Now, to know if the shaded region lays above or below the line, we consider the point (0,0) and notice that:
![0<-0+2.](https://img.qammunity.org/2023/formulas/mathematics/college/k9ncs4g8o86ubkehc4y03mzojnt7mbehsa.png)
Therefore, (0,0) is not a solution to the inequality and the shaded region is the one above the line.
Answer: