If U = {2, 4, 6, 8, 10, 12} and A' = {4, 10}, what is A?
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Answer and explanation
Correct answer: {2, 6, 8, 12}
The complement A' contains the elements of the universal set U that are not in A. Therefore, A consists of all elements of U that are not in A'. Subtracting {4, 10} from {2, 4, 6, 8, 10, 12} leaves {2, 6, 8, 12}. Thus option A is correct. The result also satisfies A ∩ A' = ∅ and A ∪ A' = U.
Frequently asked questions
What is the correct answer to this question?
{2, 6, 8, 12}
Why is this the correct answer?
The complement A' contains the elements of the universal set U that are not in A. Therefore, A consists of all elements of U that are not in A'. Subtracting {4, 10} from {2, 4, 6, 8, 10, 12} leaves {2, 6, 8, 12}. Thus option A is correct. The result also satisfies A ∩ A' = ∅ and A ∪ A' = 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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