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30 January, 05:53

D = x E = x F = x The number 4 is D ∩ (E ∩ F).

1. True

2. False

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Answers (1)
  1. 30 January, 05:58
    0
    Answer: 1. True

    Step-by-step explanation:

    Given : D = x = { 0, 1, 2, 3, 4, 5, ... }

    E = x is a perfect square between 1 and 9 = {4 }

    F = x is an even number greater than or equal to 2 and less than 9 = {4, 6, 8}

    Since intersection of sets contains all the values they have common.

    Then, E ∩ F = {4}

    Now, D∩ (E ∩ F) = { 0, 1, 2, 3, 4, 5, ... } ∩ {4} = {4}

    Hence, The number 4 is D ∩ (E ∩ F).

    Thus, the given statement is 1. true.
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