U2|MAbOr DUcReve MATHEMATICS POY | 2092-23 bas, 2. 4), Simple, 8.6), bo. 4,2), otter tus ov falte , 5d) py eg 4 ——_ Section- 2 @) Gta). on wold 4 gol! a Hy Glne : = le ongen pom”. citinde £ Qn) | = (rang! | Aes, aliveree, dlvspec, Atvyles , Atvs]e1, Alvar =o. 3] | POR Ath SD 2, Graph, cheer ree entst . PeelT Vey 2-8-5, 4. (Pra) pve) T Le $e la kautoseny 44 1 pdq. (pt Foxk jt gook 4: Ja rot cheap) —] seervowme "9 On BSAnjtE Sr = 7 Pisvtbeos Poeht. a £ an 2 B+ Xa EB ue es ber 77 ee | c- Sh +66 =) 7 . a on 49 Dane kM tee +2 + 61D. ro) duven RR, aan be renter as aq 2a, = a) ti). : 2 anrr. 2 2 ay, x so. - en 7 Q(x) — Ao = Ex GOK) EO. Gt ~} rex. = 2 UE) Gln) = ei n a 2 ex" =? Ana of : = 22,2 ay Ane BB". ), b)y i) US (apa (myar))v (ar) ¥CpaT) 2 (Pp Ama) ay) v av) Vicpne) — [Associate fo) = leva) ete add V C¥vPyAY ee Diseibatre orn) => [~tpvad Vv (pve | At (rrsbieatire} | as The c foes] wee E Seen foes) , 7). Given: 'n! ds an date a Ay abe Oh: 4 ink ey Sine, . Direck matteal js rok seer Ley oft nt is ed, tan nd adel By arbaposiion, 14-7 1p. OF ry Js eek ghd Kan, ogi Oe hl | Taten : nr eld = nls ao or nsek, | spinsng on elec dele, a0 py. re ak 2 =r 92, ha ret odol by a | | | Ty conbapesbive, matted? 2 love povedd gwd ext, then n las 22) ee Wk even, bk12). 4.) in) pe Lai) = -~°9790 Seth grapht home game no, of vexbeet anol echoes. UV 5S Usa ee) vs u yO V : ar Cee Va } YCave, Tuwtre actfaccney Js pressueal, Henen the two grpht ose | Jaomvnplic . 3) ; a ia arph Gelvie), GE Vv, pv, be He ge | even ofepran vettiees Arak od alagran vertices respectively , Ten by barckshabing —tosren , . 2 ot) BAO eA St) = de © | Merce ak (v)) bb even, Z ol(v,) & em. ev, Et oe ore, on) put empression of Rite ws ever. We have 2 exyredsion % Rus rusk be even, so, Aik) is even. It | @ © & to t=) Cfo fe 7 6G oC yi} P Jeo e712 © © See es oo eg t oe oT ey te) ce SU Ge fy 4 Aa bee acljacaney mebhe of 6) Su. ° ! !i 2 \ go 1 0 1 oo6 _- otal at) LC fee to to ol if eoc Dd D wh at? 26 6 here cra 4 paths from Br > as shies ¢ @ cthe Dangth 4. | “Jeu tT & D Ba+paAyo-r A>. ple@er . ) Bap yD C—7?. 3 B+yA+E AD. 4), pan dD. sh. (oe ps Thea ant a bol game, Vi Crareliling esa Ligeia . T 2 Thay amtred on fime, WED PROD ORD pyar, Vag, T: eonckuston ; ee 7 ny Tartipietion , 1 ra4~y = 2 x rene . ~4y Detach mark C) (2) i P>Y Prensge , ~pP Contrapasive (3), (4), We an use prooy by conrbeclichar , Pesurna 2 it tablead, Jf eB dbx tert inkmes, PPG Suh Mok park y hove no common thobr 2 . foee = Prag. SHC PP is even ta p la an even inkeged, So psam by some inte, m. (mJ og? ah qs amt sane Yb even, au even. qcek be some Hy :Thus pp ancl y axe even and fave common rotors >, THs Contecliets p arch a, have NO Smmon factor . Hence ce qaumpbien jo wrong. ~Q Detadhnant of (2), 4). WE BR jxratonal . e). 7 ——- a), PE £ a Given: x ts pexeck acl pot pfime Tabs conta poslibe tq 5 7p, 27 2 prime numbeh len wid noe pryeck tycde ‘tek ionte a prime nurabed, By lotr, “peryect numba is a positive. Entejey that iz eqpel to sun of HS tor encluding Ke number “steal, Poot bhe aviser oy | 3a fark x. By payeck meh | atlex cnetnctiy tye) a LH Ad pot a Pafeck sumber, a TYP. - Hencs Se Bs proved by conkapos tive metteal . *). ; | Step Agamants Fas Sgicoen I VR prema 2 mk prencae 2 = Digjuncbve LR Ara 2 47 Premise . eo | |steps lo Agqumants Tastipicedton . ~ Pow Prendse (“> a) A (A> ~>) Se ~Pza Conjunction Aimplificobin ~(~p) Qe P Gonteapost ve. Cs), (4). Conclusion .