If U = {1, 2, 3, 4, 5, 6, 7, 8} and A = {1, 2, 3, 4}, what is the smallest number in A′?
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Answer and explanation
Correct answer: 5
The complement A′ contains those elements of the universal set U that are not members of A. Starting with U = {1,2,3,4,5,6,7,8} and removing A = {1,2,3,4}, we obtain A′ = {5,6,7,8}. The smallest element of this remaining set is 5, so option C is correct. The number 4 is excluded because it belongs to A.
Frequently asked questions
What is the correct answer to this question?
5
Why is this the correct answer?
The complement A′ contains those elements of the universal set U that are not members of A. Starting with U = {1,2,3,4,5,6,7,8} and removing A = {1,2,3,4}, we obtain A′ = {5,6,7,8}. The smallest element of this remaining set is 5, so option C is correct. The number 4 is excluded because it belongs to A.
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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