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

Answers (1)

Suppose A\subset B,

Let x\in A \cup C

\\x\in A \text{ or }x\in C\\ x\in B \text{ or }x\in C\\ x\in B\cup C\\ \therefore A\cup C \subset B\cup C

Hence the given statement is true.

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infoexpert22

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