Ok, so
We have the following inequality:
[tex]4x+y>5[/tex]
First of all, we're going to solve the inequality for y.
[tex]y>-4x+5[/tex]
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:
