Question

The graph of 2x − y = 3 is shown on the coordinate grid.

X; Y;

Which ordered pair is NOT in the solution set of 2x − y > 3?

A
(2, 0)
B
(2, 1)
C
(1, −3)
D
(3, −1)

Answer 1

We test each point in 2x − y > 3 (equivalently y < 2x − 3).

A (2,0): 2(2) − 0 = 4 > 3 — true.
B (2,1): 2(2) − 1 = 3 > 3 — false (it's equal, not greater).
C (1,−3): 2(1) − (−3) = 5 > 3 — true.
D (3,−1): 2(3) − (−1) = 7 > 3 — true.

So (2,1) is NOT in the solution set. Answer: B.