If Universal Set U = {90, 91 , 92 , 93 , 94, 95 , 96 , 97 , 98, 99 , 100} A = {90, 92, 94, 96, 98, 100}, B= {91, 93, 95, 97, 99}, C = {90, 94, 98} a) What is (A ∪ C)c b) What is (B ∩ C)c
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The union of A and C is {90, 92, 94, 96, 98, 100}, so the complement of this set (i.e., all the elements in U that are not in A ∪ C) is {91, 93, 95, 97, 99}. b) (B ∩ C)c is the complement of the intersection of sets B and C. The intersection of B and C is the Show more…
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Use $U=$ universal set $=\{0,1,2,3,4,5,6,7,8,9\}$, $A=\{1,3,4,5,9\}, B=\{2,4,6,7,8\},$ and $C=\{1,3,4,6\}$ to find each set. $$ (A \cup B) \cap C $$
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Use $U=$ universal set $=\{0,1,2,3,4,5,6,7,8,9\}$, $A=\{1,3,4,5,9\}, B=\{2,4,6,7,8\},$ and $C=\{1,3,4,6\}$ to find each set. $$ (A \cap B) \cup C $$
Let $U$ be the universal set and $A \cup B \cup C=U$. Then $[(A-B) \cup(B-C) \cup(C-A)]$ equals (a) $\mathrm{A} \cup \mathrm{B} \cup \mathrm{C}$ (b) $\mathrm{A} \cap \mathrm{B} \cap \mathrm{C}$ (c) $\mathrm{A} \cup(\mathrm{B} \cap \mathrm{C})$ (d) $\mathrm{A} \cap(\mathrm{B} \cup \mathrm{C})$
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