A, B and C are three sets such that A is a subset of B and B is a subset of C.Which one of the following statements must always be true?Group of answer choicesC is a subset of BA is a subset of CC is a subset of AB is a subset of A
Question
A, B and C are three sets such that A is a subset of B and B is a subset of C.Which one of the following statements must always be true?Group of answer choicesC is a subset of BA is a subset of CC is a subset of AB is a subset of A
Solution
The statement that must always be true is "A is a subset of C".
Here's why:
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We know that A is a subset of B. This means that all elements of A are also elements of B.
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We also know that B is a subset of C. This means that all elements of B are also elements of C.
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Therefore, since all elements of A are elements of B, and all elements of B are elements of C, it follows that all elements of A must also be elements of C.
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This means that A is a subset of C.
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