Question

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 1

a is the correct answer hope this helps

Answer 2

Answer: Option 'B' is correct.

Explanation:

Since we have given that from the graph:

`(5,0)\ and\ (2,-1)`

since these two points are satisfied in

`x-3y<5`

Because,

If we put x=5

`5-0<5\\\\5<5`

Similarly, if we put (2,-1)

We get,

`2-(-3)<5\\\\2+3<5\\\\5<5`

And we can see from the graph that shaded portion is towards the origin.

So,

`x-3y<5`

Hence, Option 'B' is correct.