If A = {1, 2, 3}, B = {1, 2, 3, 4}, and C = {1, 2, 3, 4}, which statement is true?
Answer and explanation
Correct answer: B = C and A is a proper subset of B.
Sets are equal when they contain exactly the same elements. B and C both contain 1, 2, 3, and 4, so B = C. Set A contains 1, 2, and 3, all of which are in B, but A does not contain 4. Therefore A is a subset of B and is not equal to B; hence A is a proper subset of B. The same reasoning also makes A a proper subset of C.
Frequently asked questions
What is the correct answer to this question?
B = C and A is a proper subset of B.
Why is this the correct answer?
Sets are equal when they contain exactly the same elements. B and C both contain 1, 2, 3, and 4, so B = C. Set A contains 1, 2, and 3, all of which are in B, but A does not contain 4. Therefore A is a subset of B and is not equal to B; hence A is a proper subset of B. The same reasoning also makes A a proper subset of C.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Sets.
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