Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {1, 3, 5, 7, 9}, B = {2, 4, 6, 8, 10} and C = {1, 2, 4, 5, 8, 9}. List the elements of each set. (a) (A cap C)c (b) (A cup Bc) cup (B cap Cc) (c) (A cup B)c cap Cc
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Step 1
Step 1: Find the complement of A ∩ C A ∩ C = {1, 5, 9} The complement of A ∩ C in U is the set of all elements in U that are not in A ∩ C, which is {2, 3, 4, 6, 7, 8, 10}. Show more…
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Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {1, 3, 5, 7, 9}, B = {2, 4, 6, 8, 10}, and C = {1, 2, 4, 5, 9, 10}. List the elements of each set. (Enter your answers using roster notation. Enter EMPTY or ∅ for the empty set.) (a) AC (b) B ∪ C (c) C ∪ CC
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