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From Karnataka Open Educational Resources
→Problem 1
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#Pupil must have a sound understanding of Euclid's lemma
#Pupil must have a sound understanding of Euclid's lemma
#The difference between mathematical proofs and Verification/Justification-the scope of mathematical proofs is beyond verification-Higher order skill in problem solving
#The difference between mathematical proofs and Verification/Justification-the scope of mathematical proofs is beyond verification-Higher order skill in problem solving
+==Method -1: Solution by cases==
+Proposition: x is an integer. i.e., x=m, where m is an integer<br>
+Conclusion : x(x+1) is an even integer. i.e., x(x+1) =2K<br>
+
+Pupil can solve this in several ways viz., proofs by cases.
+===Case -1: x is an even integer ===
