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For all sets A, B and C, if A ⊂ C and B ⊂ C, then A ∪ B ⊂ C
 

Answers (1)

Suppose A \subset C, B\subset C.

Let x\in A\cup B

\\ x\in A \text{ and } x\in B \\ x\in C \text{ and } x\in C \quad [A\subset C\text{ and }B\subset C] \\ \Rightarrow x\in C\Rightarrow A\cup B \subset C

hence the given statement is true.

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infoexpert22

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