show that every positive odd integer is of the form 4q + 1 and 4q + 3
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Answer:
As per Euclid's Division Lemma
If a and b are two positive integer, then
a=bq+r
where 0<r<b
Let positive integer be a
and b= 4
Hence a= 4q+r
where 0<r<4
r is an integer greater than or equal to zero and Less than 4
Hence r can be either 0,1,2,3
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Here, Euclid 's Division lemma is used ...
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