If U = {m, n, o, p, q} and A = {n, p}, which element will not be in A′?
Answer and explanation
Correct answer: n
The complement A′ contains every element of the universal set U that is not an element of A. Since A = {n, p}, its complement is A′ = {m, o, q}. Therefore, n is not in A′, and option A is correct. The element p would also be absent from A′, but it is not among the answer choices. Careful reading of “will not be” is essential here.
Frequently asked questions
What is the correct answer to this question?
n
Why is this the correct answer?
The complement A′ contains every element of the universal set U that is not an element of A. Since A = {n, p}, its complement is A′ = {m, o, q}. Therefore, n is not in A′, and option A is correct. The element p would also be absent from A′, but it is not among the answer choices. Careful reading of “will not be” is essential here.
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.
