Types of Sets

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  • Q1

    Which of the following statement is False?

    Marks:1
    Answer:

    If A = {x : | x | < 2, x I}, B = {-1, 1), then A = B.

    Explanation:

    A = {x : | x | < 2, x I} = {-1, 0, 1}

    Here, the elements 0 belong to the set A but it does not belong to the set B.

    So, the sets A and B are not equal sets.

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  • Q2

    Which of the following is a null set?

    Marks:1
    Answer:

    {x : x2 + 1 = 0, x R}.

    Explanation:
    x2+ 1 = 0 has no solution in R.
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  • Q3

    Which of the following is an empty set?

    Marks:1
    Answer:

    The set of natural numbers satisfying the equation x2 + 5x + 6 = 0.

    Explanation:

    The roots of the equation x2 + 5x + 6 = 0 is x = -2, -3 which are not natural numbers.

    So, the given set is an empty set.

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  • Q4

    If A = {14, 18, 22, 26} and B = {18, 14, 26, 22} then

    Marks:1
    Answer:

    A and B are equal sets.

    Explanation:

    Here A and B are equal sets as these two contain same elements.

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  • Q5

    (I) A = {4, 6, 7, 9, 10}
    (II) B = {a, b, c, 10, 9}
    (III) C ={9, 3, 6, 4, 2, 1}
    From the above data, equivalent sets are

    Marks:1
    Answer:

    A and B.

    Explanation:
    Both A and B contain equal number of elements all of which are not identical. So A and B are equivalent sets.
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