If U = {1,2,3,4,5,6} and A = {1,3,5}, which element belongs to the complement A′?
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Answer and explanation
Correct answer: 2
The complement A′ contains all elements of the universal set U that are not elements of A. Subtracting A = {1,3,5} from U = {1,2,3,4,5,6} gives A′ = {2,4,6}. Among the choices, only 2 belongs to this complement. The numbers 1, 3, and 5 are already in A, so they cannot be in A′.
Frequently asked questions
What is the correct answer to this question?
2
Why is this the correct answer?
The complement A′ contains all elements of the universal set U that are not elements of A. Subtracting A = {1,3,5} from U = {1,2,3,4,5,6} gives A′ = {2,4,6}. Among the choices, only 2 belongs to this complement. The numbers 1, 3, and 5 are already in A, so they cannot be in 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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