If A = {1, 2, 3} and B = {{1}, {2}, {3}}, which statement is correct?
Answer and explanation
Correct answer: A ≠ B, and neither set is a subset of the other
The elements of A are the numbers 1, 2, and 3, whereas the elements of B are the singleton sets {1}, {2}, and {3}. Braces are mathematically significant: 1 is not the same object as {1}. Thus A and B are not equal. Also, 1, 2, and 3 are not elements of B, while {1}, {2}, and {3} are not elements of A, so neither set is a subset of the other.
Frequently asked questions
What is the correct answer to this question?
A ≠ B, and neither set is a subset of the other
Why is this the correct answer?
The elements of A are the numbers 1, 2, and 3, whereas the elements of B are the singleton sets {1}, {2}, and {3}. Braces are mathematically significant: 1 is not the same object as {1}. Thus A and B are not equal. Also, 1, 2, and 3 are not elements of B, while {1}, {2}, and {3} are not elements of A, so neither set is a subset of the other.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.
