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9 December, 18:47

Suppose that U (the universal set), A and B are sets, given as shown below. U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10), A = {1, 4, 6, 8, 9, 10), and B = {1,5,9}. Find each of the following sets. Enter your answer by listing the elements in increasing order, separated by commas. Do not put a comma after the last number. If the set is empty, enter DNE. A'UB = {1,2,3,5,7,9 "} A' B' = {2,3,7 } An B' = {4,6,8,10 }

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  1. 9 December, 18:52
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    A' U B = {2,3,5,7,8}

    A' n B' = {2,3,7}

    A n B' = {4,6,8,10}

    Step-by-step explanation:

    In our problem, the universal set is:

    U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

    We also have:

    A = {1, 4, 6, 8, 9, 10}

    B = {1,5,9}.

    The complement of a set is a set made by every element that is contained in the universal set and is not contained in the set. So

    A' = {2,3,5,7}

    B' = {2,3,4,6,7,8,10}

    The union of two sets is the set that contains every element that is in at least one of those sets: So

    A' U B = {2,3,5,7,8}

    The intersection of two sets is the set that contains every element that is in both of those sets. So:

    A' n B' = {2,3,7}

    A n B' = {4,6,8,10}
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