If U = {1, 2, 3, 4, 5, 6} and A = {1, 4, 6}, what is A', the complement of A in U?
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Answer and explanation
Correct answer: {2, 3, 5}
The complement A' is defined relative to the universal set U. It contains every element of U that is not a member of A. Starting with U = {1, 2, 3, 4, 5, 6} and removing 1, 4, and 6 leaves 2, 3, and 5. Therefore A' = {2, 3, 5}. The answer would be empty only if A were equal to U.
Frequently asked questions
What is the correct answer to this question?
{2, 3, 5}
Why is this the correct answer?
The complement A' is defined relative to the universal set U. It contains every element of U that is not a member of A. Starting with U = {1, 2, 3, 4, 5, 6} and removing 1, 4, and 6 leaves 2, 3, and 5. Therefore A' = {2, 3, 5}. The answer would be empty only if A were equal to U.
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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