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11 July, 14:53

Select the statements that are true based on the following given information.

D = x is a whole number

E = x

F = x

The expression D ∩ E is {1, 4, 9, 16}.

The expression D ∩ F is {12, 14, 16, 18}.

D ∪ (E ∩ F) is {all whole numbers}.

(E ∩ F) is the empty set.

The expression D ∩ (E ∪ F) is 25

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Answers (1)
  1. 11 July, 15:11
    0
    D = { ..., - 3, - 2, - 1, 0, 1, 2, 3, ... }

    E = { 1, 4, 9, 16, 25 }

    F = { 21, 23, 25, 27, 29 }

    D ∩ E = { 1, 4, 9, 16, 25 } - False (A)

    D ∩ F = {21, 23, 25, 27, 29 } - False (B)

    E ∩ F = { 25 } - False (D)

    D ∩ (E ∪ F) = { 1, 4, 9, 16, 21, 23, 25, 27, 29 } - False (E)

    Answer:

    Correct statement is:

    C) D ∪ (E ∩ F) = { all whole numbers }
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