If U = {x : x ∈ N, x ≤ 6} and A = {1, 2, 3}, what is A′?
Answer and explanation
Correct answer: A′ = {4, 5, 6}
Under the usual school convention in this question, N denotes the positive natural numbers. Thus U = {1, 2, 3, 4, 5, 6}. The complement A′ contains the members of U that are not in A = {1, 2, 3}. Removing those three elements leaves {4, 5, 6}; hence option A is correct. Zero is not included under the stated convention.
Frequently asked questions
What is the correct answer to this question?
A′ = {4, 5, 6}
Why is this the correct answer?
Under the usual school convention in this question, N denotes the positive natural numbers. Thus U = {1, 2, 3, 4, 5, 6}. The complement A′ contains the members of U that are not in A = {1, 2, 3}. Removing those three elements leaves {4, 5, 6}; hence option A is correct. Zero is not included under the stated convention.
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.
