Question

Is (1, 2) a solution of the system y > 2x and x+y<3?

Select one:

a. Yes, because (1, 2) is a solution to both inequalities.

b. Yes, because (1, 2) is the point of intersection of the two boundary lines of
this system.

c. No, because (1, 2) is a solution to only one of these inequalities.

d. No, because (1, 2) is not a solution to either inequality.

Answer 1

d

Explanation:

To determine if (1, 2) is a solution to the system

Substitute x = 1, y = 2 into the inequalities and check their validity.

y > 2x → 2 > 2 ← incorrect statement

x + y < 3

1 + 2 < 3 → 3 < 3 ← incorrect statement

(1, 2) is not a solution to either inequality → d