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Show that every positive integer is eit...

Show that every positive integer is either even or odd.

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Let n be an arbitary positibe integer. ltbr. On dividing n by 2, ler m be the quotient and r be the remainder.
Then= n = 2m+r, where ` 0 le r lt2` [ bt Euclid division lemma]
n =2 M39 or n = 2m +1 , for some integer m.
so, n is either or odd.
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