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

Answer:

$(6,2)$

Step-by-step 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