If U = {x : x ∈ N, x ≤ 9} and S = {1, 4, 9}, what is S′?
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Answer and explanation
Correct answer: {2, 3, 5, 6, 7, 8}
Since the universal set is U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, the complement S′ contains every element of U that is not in S. Removing 1, 4, and 9 from U leaves S′ = {2, 3, 5, 6, 7, 8}. Therefore, option A is correct. The complement always depends on the specified universal set.
Frequently asked questions
What is the correct answer to this question?
{2, 3, 5, 6, 7, 8}
Why is this the correct answer?
Since the universal set is U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, the complement S′ contains every element of U that is not in S. Removing 1, 4, and 9 from U leaves S′ = {2, 3, 5, 6, 7, 8}. Therefore, option A is correct. The complement always depends on the specified universal set.
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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