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Discussion :: Sets, Relations and Functions

  1.  Which of the following statements is FALSE?

  2. A.

     2 ∈ A ∪ B implies that if 2 ∈/ A then 2 ∈ B. 

    B.

    {2, 3} ⊆ A implies that 2 ∈ A and 3 ∈ A.

    C.

    A ∩ B ⊇ {2, 3} implies that {2, 3} ⊆ A and {2, 3} ⊆ B

    D.

    {2} ∈ A and {3} ∈ A implies that {2, 3} ⊆ A.

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    Answer : Option D

    Explanation :

    {2} ∈ A and {3} ∈ A implies that {2, 3} ⊆ A.


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