If A = {2, 3, 3, 4} and B = {4, 2, 3}, which statement is correct?
Answer and explanation
Correct answer: A = B because their elements are the same
In set notation, repetition of an element does not create a new element, and the order in which elements are written is irrelevant. Thus A = {2, 3, 4}, because the repeated 3 is counted only once. Set B also contains exactly 2, 3, and 4. Therefore A and B are equal, while A does not have four distinct elements.
Frequently asked questions
What is the correct answer to this question?
A = B because their elements are the same
Why is this the correct answer?
In set notation, repetition of an element does not create a new element, and the order in which elements are written is irrelevant. Thus A = {2, 3, 4}, because the repeated 3 is counted only once. Set B also contains exactly 2, 3, and 4. Therefore A and B are equal, while A does not have four distinct elements.
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.
