Which of the following points lie in the solutions set to the following system of inequalities? 2x + y 8 x − y

Question

Which of the following points lie in the solutions set to the following system of inequalities?

2x + y > 8
  x − y < 2

A.(2, -5)
B.(2, -5)
C.(2, 5)
D.(-2, -5)

anonymous · Answer

Take each point and plug it into the equations and solve. If both equations are true, that is the point that lies in the solution.

OR

plot the equation onto a Cartesian plane and check each point

igreen · Answer

Cartesian plane..?

No..you can just use a regular plane.

igreen · Answer

https://www.desmos.com/calculator/gxtwbu64ak

igreen · Answer

So which point lies in the overlapped area? @mcfizzy321

anonymous · Answer

@iGreen what do you call a regular plane?

igreen · Answer

Oh..nevermind..I thought you were talking about the 3D plane..with x, y, and z..

anonymous · Answer

Is point A true or false for: 2x + y > 8 x - y < 2 A: (2, -5) 2(2) + (-5) > 8 <----True or False 2 - (-5) < 2 <----- True or False both needs to be true if it is a point we need.

anonymous · Answer

both the methods are correct.