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Pupil can solve this in several ways viz., proofs by cases.
 
Pupil can solve this in several ways viz., proofs by cases.
 
===Case -1: x is an even integer ===
 
===Case -1: x is an even integer ===
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Then x=2k+0 = 2K,  K<math>K in Z </math>  by Euclid's lemma<br>
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Discussion on Euclid's lemma: What is division? Discuss on the process of division rather than on the procedure of division. Consider the example . Is it (12-5)=7 then (7-5)=2
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