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10 May, 04:28

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} A) {0, 5, 10, 15, 20, 25, 30, 40, 50, 80, 100} B) {0, 10, 20, 40, 80, 100} C) {20, 40} D) {20}

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Answers (2)
  1. 10 May, 06:18
    0
    B

    Step-by-step explanation:

    L ∪ (M ∩ N) means take "common" between M and N and take "sum of that and L".

    Let's find (M ∩ N) (common between M and N):

    We know

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

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

    Thus, the common elements are 10 & 20, thus (M ∩ N) = {10,20}

    Now we have:

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

    (M ∩ N) = {10,20}

    So sum of L and (M ∩ N) are all the unique elements of both the sets. They are 0, 10, 20, 40, 80, 100, or Option B
  2. 10 May, 08:13
    0
    B) L ∪ (M ∩ N) = {0,10,20,40,80,100}

    Step-by-step explanation:

    The given sets are;

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

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

    and

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

    (M ∩ N) are elements in set M and set N

    (M ∩ N) = {10,20}

    The elements in L ∪ (M ∩ N) are elements in L or M ∩ N or both

    L ∪ (M ∩ N) = {0,10,20,40,80,100}

    The correct choice is B.
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