Set and its Representation

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  • Q1

    The set of rational numbers between 6 and 7 in set-builder notation is represented as

    Marks:1
    Answer:

    {x: x Q, 6 < x < 7 }.

    Explanation:

    The given set consists of rational numbers between 6 and 7, so 6 and 7 are not included. Hence, (d) is the correct choice.

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  • Q2

    The set Z = {2, 3, 4, 5, 6, 7, 8, 9, 10} in set-builder notation is represented as

    Marks:1
    Answer:

    Z = {x: x N, 2 x 10}.

    Explanation:

    The given set consists of natural numbers which begin with 2 and do not exceed 10. Hence, (a) is the correct choice.

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  • Q3

    The set {x : x is an even prime number} can be written as

    Marks:1
    Answer:

    {2}

    Explanation:
    2 is the only even prime number so {2} is required answer.
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  • Q4

    The set A = {x: x N; x2 < 25} in roster form is represented as

    Marks:1
    Answer:

    {1, 2, 3, 4}.

    Explanation:
    x is a number whose square is less than 25. The square of 5 is 25. Therefore, the natural numbers less than 5 constitute the set.
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  • Q5

    Marks:1
    Answer:

    Explanation:

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