If U = {1, 2, 3, 4, 5, 6, 7, 8} and A = {2, 4, 6, 8}, which element belongs to A′?
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Answer and explanation
Correct answer: 5
The complement A′ is defined relative to the universal set U. It contains all elements of U that are not elements of A. Removing 2, 4, 6, and 8 from U gives A′ = {1, 3, 5, 7}. Therefore, 5 belongs to A′. The numbers 2, 4, and 8 are already in A, so none of them can be in its complement.
Frequently asked questions
What is the correct answer to this question?
5
Why is this the correct answer?
The complement A′ is defined relative to the universal set U. It contains all elements of U that are not elements of A. Removing 2, 4, 6, and 8 from U gives A′ = {1, 3, 5, 7}. Therefore, 5 belongs to A′. The numbers 2, 4, and 8 are already in A, so none of them can be in its complement.
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.
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