If U = {a, b, c, d, e, f, g, h}, A = {a, b, c, d}, and B = {c, d, e, f}, how many elements are in A' Δ B'?
Advertisement
Answer and explanation
Correct answer: 4
The complements are taken with respect to U. Thus A' = {e, f, g, h} and B' = {a, b, g, h}. The symmetric difference contains elements belonging to exactly one of the two sets, so A' Δ B' = {a, b, e, f}. Therefore, it has 4 elements, making option B correct. The common elements g and h are excluded.
Frequently asked questions
What is the correct answer to this question?
4
Why is this the correct answer?
The complements are taken with respect to U. Thus A' = {e, f, g, h} and B' = {a, b, g, h}. The symmetric difference contains elements belonging to exactly one of the two sets, so A' Δ B' = {a, b, e, f}. Therefore, it has 4 elements, making option B correct. The common elements g and h are excluded.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Complement of a Set and Its Properties.
Advertisement