Which of the following ordered pairs (x, y) satisfies the inequality 5x − 3y lt 4 ?
I.(1,1)
II.(2,5)
III.(3,2)

Options

A. I only
B. II only
C. I and II only
D. I and III only

Answer

C

Explanation

Choice C is correct. Substituting (1, 1) into the inequality gives 5(1) − 3(1) lt 4, or 2 lt 4, which is a true statement. Substituting (2, 5) into the inequality gives 5(2) − 3(5) lt 4, or −5 lt 4, which is a true statement. Substituting (3, 2) into the inequality gives 5(3) − 3(2) lt 4, or 9 lt 4, which is not a true statement. Therefore, (1, 1) and (2, 5) are the only ordered pairs that satisfy the given inequality. Choice A is incorrect because the ordered pair (2, 5) also satisfies the inequality. Choice B is incorrect because the ordered pair (1, 1) also satisfies the inequality. Choice D is incorrect because the ordered pair (3, 2) does not satisfy the inequality.