If U = {1, 2, 3, 4, 5, 6, 7} and A = {3, 5, 7}, what is the smallest number in A′?
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Answer and explanation
Correct answer: 1
The complement A′ contains every element of the universal set U that does not belong to A. Removing 3, 5, and 7 from U gives A′ = {1, 2, 4, 6}. The smallest element of this set is 1, so option A is correct. Numbers 3 and 5 are not in the complement because they already belong to A, while 2 is larger than 1.
Frequently asked questions
What is the correct answer to this question?
1
Why is this the correct answer?
The complement A′ contains every element of the universal set U that does not belong to A. Removing 3, 5, and 7 from U gives A′ = {1, 2, 4, 6}. The smallest element of this set is 1, so option A is correct. Numbers 3 and 5 are not in the complement because they already belong to A, while 2 is larger than 1.
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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