# Proof by Induction

Prove by induction:

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

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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