Teoria dos conjuntos

2 1 /0 5 / 2 0 1 8 E PS : \ue003A lun o s h tt p :/ /sim u l a d o .e st a ci o .b r/a lun o s/ 1 /3 \ue003 1 a \ue003 Q uest ã o Co nsid e r a ndo \ue003 o \ue003c o njunto\ue003A =\ue003{0,1,2,{3}},\ue003 p ode m o s\ue003a fir m ar \ue003que : \ue003 {3} \u2208 A \ue003 3 \u2282 A 0 \u2282 A \u2205 \ue003nã o\ue003 e stá\ue003 c ontido \ue003 e m\ue003 A {\ue0ac1} \u2208 A \ue003 \ue003 R e f . :\ue003 201702535008 \ue003 2 a \ue003 Q uest ã o Um\ue003 g r upo \ue003 d e \ue003a migo s\ue003 f o i\ue003a \ue003 um \ue003r e stau r ante \ue003 c om er \ue003piz z a s.\ue003 S upo nha \ue003 q ue \ue00313\ue003 c om e r a m\ue003 d e \ue003qu a t r o\ue003q u e ijo s,\ue00310\ue003 c om e r a m\ue003 d e pr e s unto,\ue003 12\ue003 c om er am \ue003de \ue003c e bo la,\ue0034\ue003 c om er am \ue003tanto\ue003d e \ue003q ua t r o\ue003q u e ijo s\ue003q ua nto\ue003de \ue003p r es unt o ,\ue0035\ue003c o me ra m\ue003 ta nto\ue003 d e pr e s unto\ue003 c om o\ue003d e \ue003c e bo la,\ue003 7\ue003 c om er am \ue003tanto\ue003d e \ue003qu a t r o\ue003q ue ijo s\ue003q uanto\ue003 d e \ue003c e bo la\ue003 e \ue0033\ue003c om er am \ue003de \ue003tudo.\ue003 O \ue003total\ue003d e a m igo s \ue003que \ue003ha v ia \ue003no\ue003 g r upo \ue003 é \ue003d e : \ue003 22 25 19 \ue003 17 20 \ue003 R e f . :\ue003 201702598730 \ue003 3 a \ue003 Q uest ã o Numa \ue003cla ss e \ue003d e \ue00330\ue003a luno s ,\ue00316\ue003tem \ue003no teb oo k \ue003e \ue00320\ue003I pa d.\ue003Q ual\ue003 o \ue003núm e ro \ue003de \ue003a lunos \ue003de sta\ue003c las se \ue003que \ue003po ss u e m\ue003 o s\ue003 d o is e q u ipa m e nt o s \ue003 6\ue003a lunos 16\ue003a lunos 12\ue003a lunos 10\ue003a lunos 20\ue003a lunos \ue003 R e f . :\ue003 201702534795 \ue003 4 a \ue003 Q uest ã o C ons ide r e \ue003 A ,\ue003 B \ue003e\ue003 C \ue003s e guinte s : \ue003 A\ue003=\ue003 {x\ue003 \u0404 \uf020 N\ue003 |\ue003x \ue003é \ue003 p ar \ue003 e\ue003 x \ue003 2 \ue003 } B \ue003 =\ue003{x \ue003 \u0404 \uf020 Z\ue003 |\ue003 \ue010 \ue003 2 \ue003 \uf0a3\uf020 x \ue003 } C \ue003 =\ue003{x \ue003 \u0404 \uf020\uf05a\uf020 |\ue003x \ue003 0 } \ue003 \ue003\ue003\ue003 A s s inale \ue003a \ue003alte r na tiv a \ue003CORR E TA\ue003 p ar a \ue003\ue003 A \ue003 \u2229\ue003B \ue003U\ue003( A\ue003 \ue010\ue003C ) \ue003 {\ue0032,\ue0034,\ue00310\ue003} Ø\ue003 \ue003\ue003\ue003\ue003\ue003conjunto\ue003vazio {\ue0030\ue003}\ue003\ue003\ue003\ue003\ue003zero 2 1 /0 5 / 2 0 1 8 E PS : \ue003A lun o s h tt p :/ /sim u l a d o .e st a ci o .b r/a lun o s/ 2 /3 {\ue0032,\ue0034\ue003} {\ue00310\ue003} \ue003 R e f . :\ue003 201702734597 \ue003 5 a \ue003 Q uest ã o Co nsid e r e \ue003o \ue003 c onj u nto\ue003 A \ue003={1,2,3,4,5,6,7,8}\ue003 ,\ue003 o \ue003núm e r o \ue003de \ue003su b c onj un tos \ue003do \ue003 c onj u nto\ue003 A \ue003qu e \ue003nã o\ue003 a pr e se nta\ue003ne nhum e le me nto\ue003 que \ue003s e j a\ue003 um\ue003 núm e ro \ue003p a r\ue003 é : \ue003 15 \ue003 16 31 32 128 \ue003 R e f . :\ue003 201703072832 \ue003 6 a \ue003 Q uest ã o S ab e \ue010se \ue003qu e \ue003o s \ue00336\ue003v e nd ed o re s\ue003 d e \ue003c e r ta\ue003 lo ja \ue003de \ue003de pa rtam e ntos ,\ue003 20\ue003 tê m \ue003a utom óv e l,\ue0031/3\ue003s ã o\ue003 d o \ue003se x o\ue003 f e minino \ue003e \ue0033/4\ue003do núm e ro \ue003de \ue003ho me ns\ue003 têm \ue003a u tom óv e l.\ue003 Q ua ntos \ue003v end e do re s\ue003s ão \ue003do \ue003se x o\ue003f e m inino \ue003e \ue003t ê m\ue003 a utom ó v e l? 18 24 \ue003 2 \ue003 6 10 \ue003 R e f . :\ue003 201702534955 \ue003 7 a \ue003 Q uest ã o U m\ue003prog rama\ue003d e\ue003bu sc a\ue003na \ue003int ernet\ue003te m\ue003o\ue003 con jun to\ue003 A\ue003=\ue003{autom óve is \ue003à\ue003v end a}\ue003em\ue003s eu \ue003banc o\ue003d e\ue003dad os . \ue003 C ons ide re\ue003a\ue003s egu ir\ue003os \ue003se gui ntes \ue003su bco nju ntos \ue003do\ue003 con jun to\ue003A:\ue003 B= \ue003{ca rr os \ue003usa dos }\u037e\ue003 C \ue003= \ue003{c arr os \ue003Ford}\u037e\ue003 D \ue003= \ue003{c arr os \ue003V ol ks w age m}\ue003\u037e E\ue003= \ue003{mo del os\ue003 anteri ores \ue003a\ue00320 00}. \ue003 Supon ha\ue003qu e\ue003v ocê \ue003des ej a\ue003proc urar\ue003tod as \ue003as\ue003 pos sív ei s\ue003refe rênc ias \ue003so bre\ue003c arros\ue003u sa dos ,\ue003Ford\ue003ou V ol ks w agem ,\ue003mo del o\ue00320 00\ue003ou \ue003mai s\ue003n ov os. D eno tand o\ue003B' \ue003,\ue003C' ,\ue003D' \ue003e\ue003E'\ue003co mo\ue003s end o\ue003res pec tiv ame nte\ue003o s\ue003c om plem ento s\ue003d os\ue003 con jun tos \ue003B ,\ue003C,\ue003D \ue003e\ue003E\ue003no co nju nto\ue003 A,\ue003a\ue003ex pres sã o\ue003qu e\ue003repres ent a\ue003a\ue003s ua\ue003p es quis a\ue003e m\ue003no taç ão\ue003de \ue003co nju ntos \ue003e\ue003o peraç ões \ue003é\ue003de sc rita por: \ue003 \ue003 \ue003 (a ) \ue003\ue003 \ue003 (B\ue003 \u222a \ue003( C\ue003 \u222a \ue003D)) \ue003 \u22c2 \ue003E' 2 1 /0 5 /2 0 1 8 E P S: \ue003A lu n o s h tt p :/ /sim u l a d o .e st a ci o .b r/a lun o s/ 3 /3 \ue003 ( B \ue003 \u22c2 \ue003(C\ue003 \u222a \ue003D) ) \ue003 \u22c2 \ue003E' ( B '\ue003 \u22c2 \ue003( C\ue003 \u22c2 \ue003 D) ) \ue003 \u22c2 \ue003E ( B \ue003 \u22c2 \ue003(C\ue003 \u222a \ue0ac \ue003D) ) \ue003 \u222a \ue003E ' \ue003 (D\ue003 \u22c2 \ue003( C'\ue003 \u222a \ue003B)) \ue003 \u22c2 \ue003E \ue003 ' \ue003 R e f . :\ue003 201702534789 \ue003 8 a \ue003 Q uest ã o Co nsid e r e \ue003o s \ue003 c o nj untos \ue003 A ,\ue003 B \ue003e\ue003 C \ue003s e guinte s : A\ue003\ue003=\ue003{\ue0031,\ue0032,\ue0033,\ue0034,\ue0035\ue003} B\ue003\ue003=\ue003{\ue0033,\ue0035,\ue0036,\ue0037,\ue0038\ue003} C\ue003\ue003=\ue003{\ue0032,\ue0034,\ue0035,\ue0038,\ue0039\ue003} \ue003 \ue003\ue003\ue003 A s s inale \ue003a \ue003alte r na tiv a \ue003CORR E T A : (A \ue003\ue010\ue003C\ue003)\ue003 \u2229\ue003(A \ue003 \ue010\ue003B ) \ue003=\ue003{\ue0031,\ue0033\ue003} \ue003 (A \ue003\ue010\ue003B\ue003)\ue003\u2229\ue003(C\ue003\ue010\ue003B)\ue003=\ue003{\ue0032,\ue0034\ue003} (B\ue003\ue010\ue003A\ue003)\ue003 \u2229\ue003(C\ue003 \ue010\ue003A ) \ue003=\ue003{\ue0037,\ue0038\ue003} (C\ue003\ue010\ue003A\ue003)\ue003 \u2229\ue003(B\ue003 \ue010\ue003C ) \ue003=\ue003{\ue0038\ue003} (B\ue003\ue010\ue003A\ue003)\ue003 \u2229\ue003(B\ue003 \ue010\ue003C ) \ue003=\ue003Ø

Teoria dos conjuntos

Humanas / Sociais

Matemática Computacional

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