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    If we consider the set of rational numbers and the set of irrational numbers, what elements are present in both sets?
    Question

    If we consider the set of rational numbers and the set of irrational numbers, what elements are present in both sets?

    A.

    Rational

    B.

    Irrational

    C.

    Real

    D.

    Empty set

    Correct option is D

    Given
    Two sets: the set of rational numbers and the set of irrational numbers.

    Formula Used
    Concept of Real Number System: A real number is exclusively either rational or irrational.

    Solution
    Rational numbers can be expressed in the form of pq \frac{p}{q} ​where p and q are integers and q is non-zero. Irrational numbers are numbers that cannot be expressed in this form.
    By definition, these two sets are mutually exclusive and have no elements in common.
    Therefore, the intersection of the set of rational numbers and the set of irrational numbers contains no elements.
    Final Answer
    So the correct answer is (d)

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