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

Can you conclude that A = B if A, B, and C are sets such that A ∪ C = B ∪ C, A ∩ C = B ∩ C, A ∪ C = B ∪ C , A ∩ C = B ∩ C

Draw Venn diagrams to illustrate A cup (B cap C)

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

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Let A, B, and C denote sets. Prove the following: a. $A ime

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

3.2 Prove by Venn diagram (i) A ( ( B cup C ) = ( A cap B ) cup ( A cap C ) ) (ii) ( A - ( B cup C ) = ( A - B ) ) ) (A.C)nAns:nAn CBUC)