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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 February 24, 2021, 2:17 pm ad1c9bdddf
    https://brainmass.com/math/calculus-and-analysis/sets-intermediate-value-theorem-11824

    Solution Preview

    To solve this, we consdier the function:
    f(x)=rx-r
    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.

    $2.19

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