Question

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)

Answer 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.