Sets Practice Questions Ques11

Question: If A = {1, 2, 3, 4} and B = {x | x is an even number less than 6}, are A and B equivalent sets?

Options:

(A) Yes

(B) No

(C) Cannot be determined

(D) They are equal but not equivalent

Show Answer

Answer: B

Explanation:

(A) Incorrect. The sets have different cardinalities.

(B) Correct. A has 4 elements, while B has 2 elements (2 and 4), so they are not equivalent.

(C) Incorrect. We can determine they are not equivalent based on the given information.

(D) Incorrect. They are neither equal nor equivalent.