Question

Which of the following is NOT a solution to the system of inequalities?

(1,2)
(0,4)
(2,1)
(1,5)​

Answer 1

(2, 1 ) is not a solution to the system

Explanation:

the solution lies in the shaded region between the 2 lines.

(1, 2 ) lies within this region and is a solution

(0, 4 ) lies within this region and is a solution

(2, 1 ) does not lie inside the region and is therefore not a solution

(1, 5 ) lies within this region and is a solution

Thus

(2, 1 ) is the only point that is not a solution to the system