Which example shows that sets with the same number of elements need not be equal?
Answer and explanation
Correct answer: {1, 2} and {3, 4}
The sets {1, 2} and {3, 4} each contain two elements, so they have the same cardinality. However, their elements are different, and equality of sets requires exactly the same elements. The other pairs represent equal sets because order does not matter, the two empty-set notations are identical, and repeated elements are ignored. Therefore option B is correct.
Frequently asked questions
What is the correct answer to this question?
{1, 2} and {3, 4}
Why is this the correct answer?
The sets {1, 2} and {3, 4} each contain two elements, so they have the same cardinality. However, their elements are different, and equality of sets requires exactly the same elements. The other pairs represent equal sets because order does not matter, the two empty-set notations are identical, and repeated elements are ignored. Therefore 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.
