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Miscellaneous Exercise 5 (II) · Q99

Q.If U = {x/x∈N, 1 ≤ x ≤ 12}, A = {1, 4, 7, 10}, B = {2, 4, 6, 7, 11}, C = {3, 5, 8 9, 12}. Write down the set A∩(B∪C).

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B∪C={2,4,6,7,11}∪{3,5,8,9,12}={2,3,4,5,6,7,8,9,11,12}B\cup C = \{2,4,6,7,11\}\cup\{3,5,8,9,12\} = \{2,3,4,5,6,7,8,9,11,12\}. Now A∩(B∪C)={1,4,7,10}∩{2,3,4,5,6,7,8,9,11,12}A\cap(B\cup C) = \{1,4,7,10\}\cap\{2,3,4,5,6,7,8,9,11,12\}. Checking each element of A: 4 and 7 are present in B∪CB\cup C; …

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