$A = {5, 7, 9, 11, 13, 15)$ and $B = {7, 8, 11, 15, 20}$ and $C = {5, 8, 9, 11, 13, 15, 17, 20}$ verify that : $A \cap (B \cap C) = (A \cap B) \cap C$

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Solution

$∵ B \cap C = {8, 11, 15, 20} a n d, A \cap (B \cap C) = {11.15} ⟶ (1) a l s o, A \cap B = {7, 11, 15} a n d (A \cap B) \cap C = {11, 15} ⟶ (2) f r o m (1) a n d (2) i t i s v e r i f i e d t h a t A \cap (B \cap C) = (A \cap B) \cap C$

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