Given U = {1, 2, 3, 4, 5, 6, 7, 8, 9} and A = {3, 6, 9}, which element belongs to A', the complement of A?
Answer and explanation
Correct answer: 8
The complement A' consists of all elements that belong to the universal set U but do not belong to A. Removing {3,6,9} from U = {1,2,3,4,5,6,7,8,9} gives A' = {1,2,4,5,7,8}. Among the given choices, 8 is present in this complement, whereas 3, 6, and 9 are members of A and therefore cannot belong to A'. Hence option C is the only correct answer.
Frequently asked questions
What is the correct answer to this question?
8
Why is this the correct answer?
The complement A' consists of all elements that belong to the universal set U but do not belong to A. Removing {3,6,9} from U = {1,2,3,4,5,6,7,8,9} gives A' = {1,2,4,5,7,8}. Among the given choices, 8 is present in this complement, whereas 3, 6, and 9 are members of A and therefore cannot belong to A'. Hence option C is the only correct answer.
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.
