Prove `A cup (B cap C)=(A cup B) cap(A cup C)`

1) Is $(A \cup B) \cup C = A \cup (B \cup C)?$(2) Is $(A \cap B) \cap C = A \cap (B \cap C)?$

A=(A cap B) cup(A-B) ) and ( A cup(B-A)=(A cup B) )n9: Using properties of sets, show that (i) ( mathrm{A} cup(mathrm{A} cap mathrm{B})=mathrm{A} quad ) (ii) ( mathrm{A} cap(mathrm{A} cup

overline { A } cap overline { B } = overline { A cup B } )

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A=(A cap B) cup(A-B) ) and ( A cup(B-A)=(A cup B) )n9: Using

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Prove 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 ) ) (iii) ( A cap ( B - C ) = (

Solved Let A,B, and C be sets. Prove or disprove the

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