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) $(A \cup D) \cap(B \cup C)$.
Given:
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) $(A \cup D) \cap(B \cup C)=\{4,5,10,11\}$
Click here to get exam-ready with eSaral
For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.