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    Proof by Induction

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    Prove by induction:
    If a > 0 then 1/a > 0, where a is an integer.

    © BrainMass Inc. brainmass.com October 10, 2019, 3:52 am ad1c9bdddf
    https://brainmass.com/math/basic-algebra/proof-induction-example-problem-438852

    Solution Preview

    Here is how we can apply the induction technique to prove the given statement:

    "If a > 0 then 1/a > 0 where a is an integer."

    Mathematically we can write the given statement as

    To prove: a > 0 => (1/a) > 0 where a is an integer.

    Base case: a = 1 (smallest positive integer)

    L.H.S. : a = 1 > 0

    R.H.S. : (1/a) = (1/1) = 1 > 0

    Hence the given statement ...

    Solution Summary

    This solution provides assistance with the proof by induction problem.

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