Relations And Functions Practice Questions Ques4

Question: If A = {1, 2, 3, 4} and R is a relation on A defined as R = {(a, b) | a divides b}, which of the following is NOT an element of R?

Options:

(A) (1, 4)

(B) (2, 4)

(C) (3, 4)

(D) (4, 2)

Show Answer

Answer: C

Explanation:

(A) Correct element of R. 1 divides 4.

(B) Correct element of R. 2 divides 4.

(C) Correct. This is not an element of R because 3 does not divide 4.

(D) Correct element of R. 4 divides 2 is false, but the question asks for what is NOT an element.