Question

Which of the following is a solution of y - x > -3?(6, 2)(2, 6)(2, -1)

Answer 1

Given:

`y-x>-3`

Required:

We need to find the solution to the given inequality.

Step-by-step explanation:

Consider the individual options.

a) (6,2)

Substitute x =6 and y =2 in the given inequality.

`2-6>-3`
`-4>-3`

This is not true so (6,2) is not a solution to the given inequality.

b) (2,6)

Substitute x =2and y =6 in the given inequality.

`6-2>-3`
`4>-3`

This is true.

So (2,6) is a solution to the given inequality.

c) (2,-1)

Substitute x =2and y =-1 in the given inequality.

`-1-2>-3`

`-3>-3`

This is not true.

So (2,-1) is not a solution to the given inequality.

Final answer:

`(2,6)`