If A = {1, 1, 2, 3} and B = {1, 2, 2, 3, 3}, which statement is correct?
Answer and explanation
Correct answer: A = B
In set notation, repetition does not create a new element. Thus A = {1, 2, 3} after removing the repeated 1, and B = {1, 2, 3} after removing the repeated 2 and 3. Since two sets are equal when they contain exactly the same elements, A and B are equal. A has three distinct elements, and B also has three distinct elements.
Frequently asked questions
What is the correct answer to this question?
A = B
Why is this the correct answer?
In set notation, repetition does not create a new element. Thus A = {1, 2, 3} after removing the repeated 1, and B = {1, 2, 3} after removing the repeated 2 and 3. Since two sets are equal when they contain exactly the same elements, A and B are equal. A has three distinct elements, and B also has three 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.
