If A = {3, 6, 9} and B = {9, 6, 3, 3}, which statement is correct?
Advertisement
Answer and explanation
Correct answer: A = B
A set records whether an element is present, not how many times it is written. Thus, the repeated 3 in B is counted only once, so B is effectively {3, 6, 9}. Both A and B contain exactly the same elements. The order of elements and repetition do not affect set equality; therefore, A = B.
Frequently asked questions
What is the correct answer to this question?
A = B
Why is this the correct answer?
A set records whether an element is present, not how many times it is written. Thus, the repeated 3 in B is counted only once, so B is effectively {3, 6, 9}. Both A and B contain exactly the same elements. The order of elements and repetition do not affect set equality; therefore, A = B.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: The Empty Set, Finite and Infinite Sets, Equal Sets.
Advertisement