If A = {1, 2, 3}, B = {1, 2, 3, 4}, and C = {2, 3}, which statement is true?
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Answer and explanation
Correct answer: A ⊂ B and C ⊂ A
Every element of A, namely 1, 2, and 3, is present in B, and B has the additional element 4. Therefore A is a proper subset of B. Similarly, both elements of C, 2 and 3, are present in A, while A contains the additional element 1, so C is a proper subset of A. Thus both statements in option A are true.
Frequently asked questions
What is the correct answer to this question?
A ⊂ B and C ⊂ A
Why is this the correct answer?
Every element of A, namely 1, 2, and 3, is present in B, and B has the additional element 4. Therefore A is a proper subset of B. Similarly, both elements of C, 2 and 3, are present in A, while A contains the additional element 1, so C is a proper subset of A. Thus both statements in option A are true.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
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