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  • For all sets A, B and C, if A ⊂ B, then A ∩ C ⊂ B ∩ C

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 \cap C

\\x\in A \text{ and }x\in C\\ x\in B \text{ and }x\in C\\ x\in B\cap C\\ \therefore A\cap C \subset B\cap C

Hence the given statement is true.

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infoexpert22

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