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Math Help - Induction on irrational and rational numbers

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    MHF Contributor harish21's Avatar
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    Induction on irrational and rational numbers

    How do we prove or disprove the following statements:

    a) The set of irrational numbers is inductive

    b) The set of squares of rational numbers is inductive.

    I am having a hard time understanding these questions. How do we work on the SETs of rational and irrational numbers and prove if these statements are true or false?
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    Quote Originally Posted by harish21 View Post
    How do we prove or disprove the following statements:

    a) The set of irrational numbers is inductive

    b) The set of squares of rational numbers is inductive.

    I am having a hard time understanding these questions. How do we work on the SETs of rational and irrational numbers and prove if these statements are true or false?

    Read here http://www.math.umn.edu/~jodeit/cour...ctiveSets2.pdf the definition of inductive set and answer your question.

    Tonio
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