If A = {1, 2, 3, 4} and B = {2, 4}, which statement is false?
Answer and explanation
Correct answer: A is a proper subset of B.
Every element of B, namely 2 and 4, is present in A, so B is a proper subset of A and also a subset of A. Every set is a subset of itself, so A ⊆ A is true. However, A has four elements while B has only two, and 1 and 3 are not in B. Therefore A cannot be a proper subset of B, making option D false.
Frequently asked questions
What is the correct answer to this question?
A is a proper subset of B.
Why is this the correct answer?
Every element of B, namely 2 and 4, is present in A, so B is a proper subset of A and also a subset of A. Every set is a subset of itself, so A ⊆ A is true. However, A has four elements while B has only two, and 1 and 3 are not in B. Therefore A cannot be a proper subset of B, making option D false.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
