Question

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

Answer 1

Hello!

You can put the choices in for x and y and see if it is true

2 - 6 < -3

-4 < -3

Since this is true the answer is A) (6, 2)

Hope this helps!

Answer 2

`(6,2)`

Explanation:

we have

`y-x < -3`

we know that

If a ordered pair is a solution of the inequality

then

the ordered pair must be satisfy the inequality

we're going to verify all the cases

case A) point
`(6,2)`

Substitute the value of x and the value of y in the inequality

`x=6,y=2`

`2-6 < -3`

`-4 < -3` ------> is true

therefore

the point
`(6,2)` is a solution of the inequality

case B) point
`(2,6)`

Substitute the value of x and the value of y in the inequality

`x=2,y=6`

`6-2 < -3`

`4 < -3` ------> is not true

therefore

the point
`(2,6)` is not a solution of the inequality

case C) point
`(2,-1)`

Substitute the value of x and the value of y in the inequality

`x=2,y=-1`

`-1-2 < -3`

`-3 < -3` ------> is not true

therefore

the point
`(2,-1)` is not a solution of the inequality