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23 April, 01:01

Sets L, M, and N are shown. Which of the sets represents L ∪ (M ∩ N) (the union of L with the intersection of sets M and N) ?

L = {0, 20, 40, 80, 100}

M = {5, 10, 15, 20, 25}

N = {10, 20, 30, 40, 50}

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  1. 23 April, 01:17
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    L ∪ (M ∩ N) = {0, 10, 20, 40, 80, 100}

    Step-by-step explanation:

    L ∪ (M ∩ N) means "take what's common of set M and set N" and then "add it to all the elements of set L".

    So, what are the common elements of set M and set N?

    They are 10 & 20. So,

    M ∩ N = {10,20}

    Now, we add it to all the elements of set L. Note that we don't need to count 20 twice.

    Thus L ∪ (M ∩ N) = {0, 10, 20, 40, 80, 100}
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