Question

Which point lies in the solution set for the following system of inequalities?

2x + y > 8
x − y < 2

(1, 1)

(3, 4)

(5, −2)

(6, 1)

Answer 1

@ranga

Answer 2

@e.mccormick

Answer 3

Take each choice and substitute in the inequalities to see which one is true.
I will do the first one: (1,1) Put x = 1, y = 1 in
2x + y > 8 and in x − y < 2
2(1) + 1 > 8
3 > 8 This is not true and so we don't have to try the other one because we know (1,1) is not a solution.

Try the other choices.