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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

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Solution

The statement that must always be true is "A is a subset of C".

Here's why:

  1. We know that A is a subset of B. This means that all elements of A are also elements of B.

  2. We also know that B is a subset of C. This means that all elements of B are also elements of C.

  3. 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.

  4. This means that A is a subset of C.

This problem has been solved

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