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

2x + y > 8
x − y < 2

a.(1, 1)
b.(3, 4)
c.(5, −2)
d.(6, 1)

You can do trial and error to all of the choices. They are presented as coordinates (x,y). Just substitute the x and y values, then if they satisfy the equation, then that is the answer. Among the choices, the answer would be B. Here's why:

x = 3, y = 4

2(3) + 4 > 8
10 > 8   TRUE

3 - 4 < 2
-1 < 2  TRUE

Thus, the answer is B.