Question

Which of the following is a solution of y - x < -3?

(6, 2)
(2, 6)
(2, -1)

Answer 1

`\large\boxed{(6,\ 2)}`

Explanation:

`y-x<-3\qquad\text{add}\ x\ \text{to both sides}\\\\y<x-3\\\\\text{Put the values of x and y from the coordinates of the points and check inequality}\\\\(6,\ 2)\to x=6,\ y=2\\2<6-3=3\qquad\text{CORRECT\ :)}\\\\(2,\ 6)\to x=2,\ y=6\\6<2-3=-2\qquad\text{FALSE\ :(}\\\\(2,\ -1)\to x=2,\ y=-1\\-1<2-3=-1\qquad\text{FALES\ :(}`