If A = {1,2,3} and B = {a,b,c}, which statement is correct?
Answer and explanation
Correct answer: They have the same number of elements but are not equal sets
Set equality requires the two sets to contain exactly the same elements. A contains the numbers 1, 2, and 3, while B contains the symbols a, b, and c. Thus the sets are not equal. However, each set has three elements, so they have the same cardinality and are equivalent in size. Therefore, option C is correct.
Frequently asked questions
What is the correct answer to this question?
They have the same number of elements but are not equal sets
Why is this the correct answer?
Set equality requires the two sets to contain exactly the same elements. A contains the numbers 1, 2, and 3, while B contains the symbols a, b, and c. Thus the sets are not equal. However, each set has three elements, so they have the same cardinality and are equivalent in size. Therefore, option C 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.
