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Let U= 3, 6, 9, 12, 15, 18, . . . . 45, set A be the set of positive even numbers less than 45 and divisible by 6, set B be the set of positive odd numbers less than or equal to 30 and set C be the set of positive odd numbers less than or equal to 45 and divisible by 5. Write sets A, B and C using the list notation method. Find A'-B, B U C, A∩CUB

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ans

- \( A = \{6, 12, 18, 24, 30, 36, 42\} \)

- \( B = \{1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29\} \)

- \( C = \{5, 15, 25, 35, 45\} \)

- \( A' - B = \{33, 39, 45\} \)

- \( B \cup C = \{1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 35, 45\} \)

- \( A \cap C \cup B = \{1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29\} \)

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