# If A is a subset of B and B is a subset of C, can you conclude that A is a subset of C

If A is a subset of B and B is a subset of C, can you conclude that A is a subset of C? Can you conclude that A is a proper subset of C?
If A is a proper subset of B and B is a proper subset of C, can you conclude that A is a subset of C? Can you conclude that A is a proper subset of C?
If A is a subset of B and B is a proper subset of C, can you conclude that A is a subset of C? Can you conclude that A is a proper subset of C?

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