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    Sets : Intermediate Value Theorem

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    Prove that the interval (0,2)~R.
    Use the Intermediate Value Theorem.

    © BrainMass Inc. brainmass.com November 24, 2022, 11:39 am ad1c9bdddf

    Solution Preview

    To solve this, we consdier the function:
    where r is a positive real number (i.e. r is in R)

    When x=0, we have f(0)=-r
    When x=2, we have ...

    Solution Summary

    The Intermediate Value Theorem is used to prove that the interval (0,2)~R.