Proof by Induction
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Prove by induction:
If a > 0 then 1/a > 0, where a is an integer.
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This solution provides assistance with the proof by induction problem.
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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 ...
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