Which of the following inequalities is best represented by this graph?
A: x-3y>5
B: x-3y<5
C: x-2y>5
D: x-2y<5

Answer: Option 'B' is correct.
Step-by-step explanation:
Since we have given that from the graph:
[tex](5,0)\ and\ (2,-1)[/tex]
since these two points are satisfied in
[tex]x-3y<5[/tex]
Because,
If we put x=5
[tex]5-0<5\\\\5<5[/tex]
Similarly, if we put (2,-1)
We get,
[tex]2-(-3)<5\\\\2+3<5\\\\5<5[/tex]
And we can see from the graph that shaded portion is towards the origin.
So,
[tex]x-3y<5[/tex]
Hence, Option 'B' is correct.