Types of Sets

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  • Q1

    Let A = {0, a, b}. The set equivalent to A is

    Marks:1
    Answer:

    {0, 1, b}

    Explanation:

    Two finite sets A and B are said to be equivalent if they have the same number of elements.

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  • Q2

    An example of finite set is, the set of all

    Marks:1
    Answer:

    letters of the English Alphabets.

    Explanation:
    The letters of the English Alphabets can be counted till a certain natural number so it’s finite.
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  • Q3

    An example of empty set is

    Marks:1
    Answer:

    {x R : x2 +3 = 0}.

    Explanation:
    There is no real number whose square is -3. So, x2 + 3 = 0 is not satisfied by any real number.
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  • Q4

    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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  • Q5

    Let the set A = {1, 2, 3, 4, 5} and the set B = {1, 2, 4}, then

    Marks:1
    Answer:

    B ⊂ A

    Explanation:

    All the elements of B are within A.

    Therefore B is a subset of A.

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