Let U = {a, b, c, d, e, g}, A = {a, d, g}, and B = {b, c, e}. Which statement is correct?
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Answer and explanation
Correct answer: B = Aᶜ
The universal set contains a, b, c, d, e, and g. Set A contains a, d, and g, while the remaining elements b, c, and e form B. Thus B contains exactly the elements of U that are not in A, so B = U \ A = Aᶜ. The sets are disjoint and their union is U; therefore option A is correct.
Frequently asked questions
What is the correct answer to this question?
B = Aᶜ
Why is this the correct answer?
The universal set contains a, b, c, d, e, and g. Set A contains a, d, and g, while the remaining elements b, c, and e form B. Thus B contains exactly the elements of U that are not in A, so B = U \ A = Aᶜ. The sets are disjoint and their union is U; therefore option A is correct.
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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