Ok, so
We have the following inequality:
![4x+y>5](https://img.qammunity.org/2023/formulas/mathematics/college/finvpt64mpe23nu23s6r881hpprnwmz2tc.png)
First of all, we're going to solve the inequality for y.
![y>-4x+5](https://img.qammunity.org/2023/formulas/mathematics/college/hvc4uknflziwjm51cmqtgxjdw13otifthb.png)
Now, if you notice, there's a line which is the border of the graph.
This line ( y = -4x + 5 ) is not part of the solution because the sign of the inequality indicates that it is not equal, it's greater.
Therefore, the graph will look like this: