If A = {1, 2, 3, 4}, B = {2, 4}, and C = {1, 3}, which statement is true?
Answer and explanation
Correct answer: B ⊂ A and C ⊂ A
Every element of B, namely 2 and 4, belongs to A, and B has fewer elements than A; therefore B is a proper subset of A. Similarly, every element of C, namely 1 and 3, belongs to A, and C is also smaller than A. Hence both B ⊂ A and C ⊂ A are true. B and C are not equal because they contain different elements.
Frequently asked questions
What is the correct answer to this question?
B ⊂ A and C ⊂ A
Why is this the correct answer?
Every element of B, namely 2 and 4, belongs to A, and B has fewer elements than A; therefore B is a proper subset of A. Similarly, every element of C, namely 1 and 3, belongs to A, and C is also smaller than A. Hence both B ⊂ A and C ⊂ A are true. B and C are not equal because they contain different elements.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
