# Sets : Intermediate Value Theorem

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Prove that the interval (0,2)~R.

Use the Intermediate Value Theorem.

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##### Solution Summary

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

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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 ...

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