9. Let R be a relation from N to N defined by R= {(a, b): a, b eN and a = b?}. Are
the following true?
(i) (a,a) e R, for all a E N (ii) (a,b) € R, implies (b,a) E R
(iii) (a,b) € R. (b.c) € R implies (a.c) e R.
Justify your answer in each case.
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Answer:
(i) (a,a) e R, for all a E N
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