If A = {a, b, c}, B = {b, c, a}, and C = {a, b}, which statement is correct?
Answer and explanation
Correct answer: A = B and A ≠ C
Two sets are equal when they contain exactly the same elements, regardless of the order in which those elements are written. A and B both contain a, b, and c, so A = B. Set C contains only a and b; it does not contain c. Therefore, C is not equal to A, and the correct statement is A = B and A ≠ C. None of these sets is empty.
Frequently asked questions
What is the correct answer to this question?
A = B and A ≠ C
Why is this the correct answer?
Two sets are equal when they contain exactly the same elements, regardless of the order in which those elements are written. A and B both contain a, b, and c, so A = B. Set C contains only a and b; it does not contain c. Therefore, C is not equal to A, and the correct statement is A = B and A ≠ C. None of these sets is empty.
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.
