If A = {5, 10, 15} and B = {15, 5, 10}, how are A and B related?
Answer and explanation
Correct answer: Equal sets
Set A contains the elements 5, 10, and 15. Set B contains exactly the same three elements; only their written order is different. In set theory, order does not affect membership, and repeated elements would also not create new elements. Since every element of A is in B and every element of B is in A, A and B are equal. Hence option B is correct.
Frequently asked questions
What is the correct answer to this question?
Equal sets
Why is this the correct answer?
Set A contains the elements 5, 10, and 15. Set B contains exactly the same three elements; only their written order is different. In set theory, order does not affect membership, and repeated elements would also not create new elements. Since every element of A is in B and every element of B is in A, A and B are equal. Hence option B is correct.
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.
