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[12] 5. Let A = {1, 2, 3, 4, ..., 271}. Define the relation R on A x A by: for any (a,b), (c,d) E AXA, (a,b) R (c,d) if and o

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Given that As 11,2 --- 0713 Given relation (Oih) R (C id ) ☆ ath=c+d Now wel show this relation in an equivalence relation thlet (a,b) G AXA Alow atbs atb so (alb 7 R (alb) to R in Reflexive1) symmetric let (arb ). GAXA & (ced ? GAXA let (alb ) R (erd) them atbs.ctd » ctds atb (ced ? R (alb) so À i cha symmenie ReTransitive. lep cab) R (Cd) atbs etd & (crd) R (elf? & cada eff Now show that (a,b) R (elf) fo ① atbs etf to (616) R (elf) toel (313) 1 (5,1),(012), (313) (2:0,45 710,5) (610)} © Now equivalme class of el (%) s fyeay ERX3 hese X= (0:) - { YEA! (eid)

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[12] 5. Let A = {1, 2, 3, 4, ..., 271}. Define the relation R on...
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