Question

Which point is a solution to the following system of inequalities?

2x + 3y < 6
5x – y > 10

Answer 1

Usually, if a system of linear inequalities has a solution, the solution is a part of a plane, not a point.

Answer 2

yeah that seems some what correct but im having problems figure out what the (x) any (y) would equal.....

Answer 3

im not sure which 1 of my answers are correct
x = 1, y = -2

x = -1, y = 2

x = 1, y = 2

x = -2, y = -1

Answer 4

Wait, I understand it now.
You are not looking for the entire solution which is part of a plane. You just need to check which of those points happens to be part of the solution of this system of inequalities.

Answer 5

To do that, insert the x and y values of each choice into both inequalities and make sure they work in both inequalities.

Answer 6

Let's try choice 1. x = 1, y = -2
First inequality: 2x + 3y < 6
2(1) + 3(-2) < 6?
2 + (-6) < 6?
-4 < 6 true
Second inequality:
5x - y > 10
5(1) - (-2) > 10?
5 + 2 > 10?
7 > 10 False
The first choice is not a solution.

Now do the same for the other choices.