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Discussion :: Sets, Relations and Functions

  1.  Which of the following statements is FALSE?

  2. A.

    {2, 3, 4} ⊆ A implies that 2 ∈ A and {3, 4} ⊆ A

    B.

    {2, 3, 4} ∈ A and {2, 3} ∈ B implies that {4} ⊆ A − B. 

    C.

    A ∩ B ⊇ {2, 3, 4} implies that {2, 3, 4} ⊆ A and {2, 3, 4} ⊆ B

    D.

    A − B ⊇ {3, 4} and {1, 2} ⊆ B implies that {1, 2, 3, 4} ⊆ A ∪ B

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    Answer : Option B

    Explanation :

    {2, 3, 4} ∈ A and {2, 3} ∈ B implies that {4} ⊆ A − B. 


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