If A = {1, 2, 3, 4, 5}, B = {4, 5, 6, 7, 8},


If $A=\{1,2,3,4,5\}, B=\{4,5,6,7,8\}, C=\{7,8,9,10,11\}$ and $D=\{10,11,12,13,14\}$, find:

(i) $A \cup B$

(ii) $A \cup C$

(iii) $B \cup C$

(iv) $B \cup D$

(v) $A \cup B \cup C$

(vi) $A \cup B \cup D$

(vii) $B \cup C \cup D$

(viii) $A \cap(B \cup C)$

(ix) $(A \cap B) \cap(B \cap C)$

(x) $(A \cup D) \cap(B \cup C)$.



A = {1, 2, 3, 4, 5}, B = {4, 5, 6, 7, 8}, C = {7, 8, 9, 10, 11} and D = {10, 11, 12, 13, 14}

(i) $A \cup B=\{1,2,3,4,5,6,7,8\}$


(ii) $A \cup C=\{1,2,3,4,5,7,8,9,10,11\}$

(iii) $B \cup C=\{4,5,6,7,8,9,10,11\}$


(iv) $B \cup D=\{4,5,6,7,8,10,11,12,13,14\}$

(v) $A \cup B \cup C=\{1,2,3,4,5,6,7,8,9,10,11\}$


(vi) $A \cup B \cup D=\{1,2,3,4,5,6,7,8,10,11,12,13,14\}$

(vii) $B \cup C \cup D=\{4,5,6,7,8,9,10,11,12,13,14\}$


(viii) $A \cap(B \cup C)=\{4,5\}$

(ix) $(A \cap B) \cap(B \cap C)=\phi$

(x) $(A \cup D) \cap(B \cup C)=\{4,5,10,11\}$

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