If A = {1, 2, {3}} and B = {1, 2, 3}, which statement is true?
Answer and explanation
Correct answer: A ≠ B
A set treats a number and a set containing that number as different elements. In A, the third element is the singleton set {3}; in B, the third element is the number 3. Although 3 belongs to {3}, the objects 3 and {3} are not identical. Consequently, A and B do not contain exactly the same elements, so A ≠ B. Option C is correct.
Frequently asked questions
What is the correct answer to this question?
A ≠ B
Why is this the correct answer?
A set treats a number and a set containing that number as different elements. In A, the third element is the singleton set {3}; in B, the third element is the number 3. Although 3 belongs to {3}, the objects 3 and {3} are not identical. Consequently, A and B do not contain exactly the same elements, so A ≠ B. Option C is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
