Let A, B and C be three sets. If `A in B`and `BsubC`. is it true that – InterviewSolution

InterviewSolution

1.	Let A, B and C be three sets. If `A in B`and `BsubC`. is it true that `AsubC`? If not give an example.
Answer» Let there is an element `a` in set A.Then, `a in A`. Now, as `A` is a subset of `B` as we are given, `A sub B`. It means element `a` should also be in `B`. `a in B` Now, as `B` is a subset of `C` as we are given, `B sub C`. It means element `a` should also be in `C`. `a in C` Thus, we can say that, `A sub C`We have assumed it for a single element `a`. But, there can be many elements in Set `A` that will satisfy the given condition.

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