when q is some integer in which form can every positive even integer be written
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Show that every positive even integer is of the form 2q and every positive odd integer is of the form 2q + 1, where q is some integer. Hint: According to Euclid's Division Lemma if we have two positive integers a and b, then there exist unique integers q and r which satisfies the condition a = bq + r where 0 ≤ r ≤ b.
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