PracExam2SolP1 - Meet we(Saw-mew SEE'JFm-t’(14:5qu...

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Unformatted text preview: Meet we (Saw-mew SEE'JFm-t’} [(14:5qu . Free-Hoe. [Ex-aw: ail 'Saiqi‘mmi 1.] [2 pte. each] Determine ifeach of the following statements it true {T} or false {F} No explanation is necessary. 3"} Every relation is a function. i: I.L] Every function is :3, relation. T u.) DomIZG a F) = DomEF} for all functions: G and Ji'. F: :1.) {EL {1,2}: {3}] is a partition of {L 21 3} - i: {[1:2],{2,3],[2,3}I,{312),[113],[3,l]}ie symmetric. "I" {{1,2}l{2:1]1{2,3},[3;2]1(1?3J1{3,1}} intransitive. F _2.}I {ii lite.) Define relation t} on 3', the set of integers, by mt}: 1E 5|{z —3;]. Show that (2 H3 at} reflexive on E. in}? KEE- Dhii-“é 51[K*H)=€3 ‘3? KQK fififfitfi m bJemmm. x69? =e~ fifl‘f—K} a? flaky—way 5mg) e- we 45 ii? AW . c.) transitive. ESP}? {Ly—r3. flip-Er g, j'f{‘f_:>cj M451 3'“;ij =1? Fitter-xfiifiew) =3» Hie—x) a; page 3.} [4 lite.) Let A ; {L21 31‘11 5,6} and let B = {{1,2}1{3.4.5}1{fi}} be a. partition of set A. List the ordered pane in the equivalence relation [2 on A with equivalence clams precisely the eiemente in B. Q: {Orlifiifififligi [fig [533; [:4qu (5:5)} {33:43, {4! 31!; ($5,; {5:3}; {as}! [:1qu; (tit?) J} Prove. ”HA H+ 4-.) {ii lite.) If function J" : A —b 5 ie one-tu-one and function g : B —} {'3' is one-to—one, then function g a f : A —i- C“ is: one—tonne. 92:31: W int—‘15} 3-. 311;, 3M 3D; -. Alia, 3mm gage}: {abijcegea he 7%» 630%): title} e 5£exp= we}; ‘35? $55}: [email protected]} [M 3 Le iv!) it» in; {Whiter—i). @Efl fi-i f-II ...
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