Solución Taller Conjuntos y Lógica Maria Muñoz

 

PHFQ@IÐM DAF TKFFA\ @HMGQMTHP Y FÐJI@K

EKTA\IK7 ^AMPKEIAMTH FHJI@H

APTQDIKMTA7 EK\IK AQJAMIK EQÛHW

@H\^H\K@IHM QMICI@KDK QMICI@KDK MK@IHMKF DA ADQ@K@IHM PQ^A\IH\ @QM KDEIMIPT\K@IHM KDEIMIPT\K@ IHM DA AE^\APKP H@TKSH PAEAPT\A FK QMIHM MK\IÛH

 

JQIK @HMGQMTHP Pak  E 5{ r , s , t  } , Astklfaz`k ¸@uëfas da fks kcirek`ihmas shm `hrra`tks h im`hrra`tks8 Pi kfjumk as im`hrra`tk da`ir phr qué.

;.

k.  l.

Sardkdarh, yk qua r as si as um afaeamth da E y as um `hmgumth   r  ⊌  E  Ckfsh, puasth qua af såelhfh da `hmtamam`ik as aepfakdh pkrk rafk`ihmkr `ukmdh um `hmgumth as sul`hmgumth da htrh `hmgumth y E mh astë `hmtamidh am r 

 

r  ∂ E 

`.  

{ r  } ∂  E  Ckfsh phrqua r daeuastrk sar um sul`hmgumth da E y phr tkmth mh dala aepfakrsa fk

rafk`iðm da partama`a simh da `hmtamam`ik d.   { r } ⊌ E  vardkdarh phrqua r as sul`hmgumth da E ,;,< } Yk qua af `hmgumth da pkrtas da L `hrrasphmda k thdhs fhs sul`hmgumths da L, rasuafvh qua7 ^ (L) 5 {Ò,{>}, {;}, {, ;}, {>, tiama4> astudikm astudikmtas tas am thtkf, thtkf, astudikm astudikmtas tas qua fa fass justkm fks Ektaeëti`ks,

;>

Datareima fks `kmtidkdas `hrrasphmdiamtas `hrrasphmdiamtas77 k.   K ∩ L 5 {;1}  l.

 

K∧L5

`.   L

`

{0>}

5{;1}

d.   ( K ∧ L )

`

5{;>}

`

a.   ( K ∩ L ) 5 { s.;> parshmks parshmks`hmh `hmh`am `am ÷mi ÷mi`keam `keamta ta k Eéxi`h, 2 parshmks`hmh`am Eéxi`h y Lrksif, parshmks ¸@uë ¸@uëmt mtks ks pa pars rshm hmks ks `h `hms msue ueåk åkm m @8 @8 ;02 ;02 pa pars rshm hmks ks ¸@ ¸@uë uëmt mtks ks pa pars rshm hmks ks `h `hms msue ueåk åkm m K, K, L y @8 @8 4> 4> pa pars rshm hmks ks ¸@uëmt ¸@uëmtks ks pars parshmk hmkss `hmsu `hmsueåk eåkm m phr phr fh e eamh amhss umh umh da ffhs hs tras tras prhd prhdu`t u`ths8 hs8 ; ;20 20 pars parshmk hmkss

 

c. j. b.

¸@uë ¸@uëmt mtks ks pa pars rshm hmks ks `h `hms msue ueåk åkm m K h L8 ;:0 ;:0 p par arsh shmk mkss ¸@uë ¸@uëmt mtks ks par parsh shmk mkss mh `hm `hmsu sueå eåkm km @ @88 3< par parsh shmk mkss ¸@ ¸@uë uëmt mtks ks pa pars rshm hmks ks mh `hms `hmsue ueåk åkm m mi mi @ mi mi K8 K8 4< 4< p par arsh shmk mkss

JQÅK FÐJI@K A IMCA\AM@IK 9.

Dkdh af m÷earh m÷earh da prhphs prhphsi`ihm i`ihmas as imdi`k imdi`krr af `krdim `krdimkf kf da vkfh vkfhras ras da da vardkd. vardkd. ^rhphsi`ihmas vkfhras da vardkd k. ; <  l. < 4 `. 1 0< d. ;> ;>. Pak  ^5 r , s , q } K 5 {