swordofthelordp7hvx3 swordofthelordp7hvx3
  • 22-03-2019
  • Mathematics
contestada

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

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

Respuesta :

gmany
gmany gmany
  • 23-03-2019

Answer:

[tex]\large\boxed{(6,\ 2)}[/tex]

Step-by-step explanation:

[tex]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\ :(}[/tex]

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