Given A = {x∈N:x<6}, B = {3,6,9} and C {x∈N:2x−5≤8}. Show that – InterviewSolution

1.	Given A = {x∈N:x<6}, B = {3,6,9} and C {x∈N:2x−5≤8}. Show that: (i) A∪(B∩C)=(A∪B)∩(A∪C) (ii) A∩(B∪C)=(A∩B)∪(A∩C)
Answer» Given A = ${x \in N : x < 6}$ , B = ${3, 6, 9}$ and C ${x \in N : 2 x - 5 \leq 8}$ . Show that: (i) $A \cup (B \cap C) = (A \cup B) \cap (A \cup C)$ (ii) $A \cap (B \cup C) = (A \cap B) \cup (A \cap C)$

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