Ôn tập mệnh đề, tập hợp

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B A x C (x A vaø x B) ∈ ⇔ ∈ ∉ b - ( 9 9∪? 9 ?  ? 9 ? 9 B A B A A \ B C = K7"Z( B A x x C C A B. = = A B x x B A C C . ]8" ##(QJRJ KKLBM*. 4#$C9t? x A \ B (x A vaứ x B) K7"Z( A \ A = A\ A = A B = = M> M+^]4='([('U; 5;3-ZD4Z8#4'*a; P'RC - 2 A {x N |x 7 vaứ x 10}. = < ` B {x N |x 15 vaứ x laứ boọi cuỷa 2} = ( C {x N | x 4 vaứ x laứ boọi cuỷa 3} = M+_]4='([('U; 5;3-ZD4Z8!2('C - A {0, 1, 4, 9,16, 25, 36}. = ` B {3, 5} = ( 1 1 1 1 1 C 1, , , , , 4 9 16 25 36 = Z 1 1 1 1 1 D , , , , 2 4 6 8 10 = f { } E (0, 2); (1, 3) = u v@ { } 9, 36, 81,144 { } G 3, 9, 27, 81 = M+`wS'x- `-1 $%4Wy([('U; 5;3-C - 2 A {x | x 3x 2 0} = + = 7$ B {x | x 2 0}. = = ` 2 B {x | x 1 0} = + = 7$ 2 F {x | x 4 0}. = = ( G {2, 3} = 7$@zT:b{ DM+a 1'U; 5;9@n-:`:(:Z:fq -I9(G`-1 4a'U;(1| `IG`-1 4a'U;(1(<-9( 0yb; P'R| (IG`-1 4a'U;(1(<-9( - 4" /'d; P'R| M+b>%9?}9?}9t?}?t9:`4='j -I9@KT:lM}?@z:b{ `I9@K:d{}?@K:lM (I9@nF~IFoq?@nF~ITFq d 9 ? 9t?   @>0cMd=>MeD QJT"!" #+fgV$'>%'/'(Q([(4[',(<-F!N $%3i(G •- ‚LFC -I MK MK xf xg y = F[(!, * 47$( r* 4CuKFM7$KFM(YF[(!, 7$ MK ≠ xf  `I MK T xfy n =  l]D4#ƒ' >w@'U;F[(!, (<-uKFM l]D4( „' >w#$C MK ≥ xf  (I MK MK xf xg y = F[(!, * 47$( r* 4CKFMF[(!, 7$uKFMA ZI MKMK xgxfy ±= F[(!, * 47$( r* 4C MK ≥ xf 7$ MK ≥ xg  0h25(Y" #+fg 1 $%3iuF[(!, 'aB $%3i!E`4='aB= MKMK:} TTT xfxfxxKxx <⇒<∈∀  $%3i ,( `4='aB= MKMK:} TTT xfxfxxKxx <⇒<∈∀ ‚CNFS'3…`4=' 4a(<- $%3i:'-(P' …( 4C i&((jfg T T MKMK xx xfxf − −  l=K‚MA@AI3i!E`4= l=K‚M•@AI3i ,( `4= $+fg"kEl 1 $%3iuF[(!, 'aX $%3i( „uKFM@uKFM  $%3i#ƒuKFM@uKFM ‚"L l$%3i( „ U'†('#$%'†(!i4F l$%3i#ƒ Ui('18!&#$%')%!i4F 3+fg2Q"Z( #+fg[m#Tn2 l=-A' > I3i!E`4=CKLBM l=-•' > I3i ,( `4=CKLBM 2W(!+fg baxy +=  "*oG' N7‡!E' ,@-Fl`7$@-Fˆ`E4F1[!4 -4; P!' +j% ; ZD4'†( 1$  P(O#84#$!E' , $%3i!‰( 1 ^+fg2Q"# ‚"2,p"%I'f(*+*o lw[(!, !r (<-KM#$ lw[(!, '†(!i4F7$ D(<-KM lw[(!, '18!&([(4-1!4N%(<-KM7D4'†('7$'†( 1$ K=(GMw[(!,  ' a%%&'3i!4N%(<-KM!N7‡( 1( . F[( lVU;`Q`4=' 4a l]‡!E' ,(<-KM Š"LC l=-A' >KM(G`"#‹%x-#a l=-•' >KM(G`"#‹%x-Fi o   M> M+>%'U;F[(!, (<-([( $%3i3-C -I p b T − + = x x y `I MTMKbK TMbK −− −− = xx xx y (I MMKbTK bd xx xx y −− −+− = ZI boT  T ++ + = xx x y fI T −−−= xxy M+B Q13['3…`4=' 4a7$7‡!E' , $%3iC -I b +−= xy `I T −= xy (I xzy T −+= ZI b T += xy fI obT T −+−= xxy M+$wS''. ( „#ƒ(<-([( $%3i3-C -I bT T −+= xxy `I x y  = (I TT ++−= xxy M+3w[(!, -:`(<-!E' , I3i@-Fl`'1([(' 5;3-C -I4x-9K}TM7$!4N%?KT}M `I4x-9K}M7$3131'†(F (I4x-KT}oM7$(G 3iG(`j:o ZI4x-ŒKd}TM7$7G(7D4!' + o T  + − = xy M+^ >%`i $%3i`U( /'(G!E' ,#$`i!' +(•' -'84`i!r (<- > 7  Ui(#$%')%!i4F:`4='%&'!r (<- > 7#$9Kb}M M+_w[(!, KM  T ++= bxaxy '1([(' 5;3-C -I4x- -4!4N%9K}TM7$?KT}M `IG!r ŽK}M (I•-K}dM7$(G'!&`j M+`>%KM cxaxy +−= d T  -I4x-9K}TM7$?KT}bM `IG 1$ !&!r #$b7$!4x-KT}M @Oq=>OqD Br@As I*+2YE8QC #,-.(Xt2Q"Z(#Tn2mu l=  ≠ a C; ^'> (G 4%Z /' l=-@}  ≠ b C; ^'> 7 4% l=-@}`@C;'73i 4% 2,-.(Xt2Q"#  T =++ cbxax  ‚=-@C;''•' P ;'`U( /' K4Q4'^'… 'aM ‚=  ≠ a C l  <∆ C; ^'> 7 4% l  =∆ C;'(G 4%*S;  l  >∆ C;'(GT 4%; )`4' a b x T ∆−− = 7$ a b x T ∆+− = m   !EF=&(-43i T } xx #$([( 4%(<-;' T  ax bx c + + = * 47$( r* 4' 1Q%‰ ' (C a b xx − =+ T 7$ a c xx = T   $(v8[*J(2Q"Z(*+2Q"#  #,-.(Xt"4#w(X'.]Z8.(X!(8[(g K;x. MKMK xgxf =  "Cl2'!I*C MK ≥ xf l?> ; ^ -47=:4Q4'>% 4% lB=' 5;!I*7$!--'U; 4a%(<-; ^'>  "Cl    ≥= <−= MKMKMK MKMKMK xfkhixgxf xfkhixgxf  K;x. MKMK xgxf =    ⇔ = −= MKMK MKMK xgxf xgxf 2,-.(Xt]x. MKMK xgxf = •@A   T ( ) ( ) ( ) ( ) g x f x f x g x ≥   ≥   =  ".I%"C  l2'!*(G •- l?> ; ^T7=4Q4'>% 4% ",-.(Xt"4#wyz8   K".I  l2'!I*%‘3i(G •-  l•!E%‘3iE44Q4'>% 4%K( 0J!I*M ],-.(Xt(X\.J,-. MK Td =++ cbxax K".I   l2' I T ≥= tkđxt   l -'7$1;'KM4Q4'>%'@AF KLF=".I2J( MKMK xgxf ≥ { MKMK xgxf ≤ { MKMK xgxf > { MKMK xgxf < *+ MKMK xgxf ≥ { MKMK xgxf ≤ { MKMK xgxf > { MKMK xgxf < "|.(,-.(h.IJ,-. (XtDj(#[}]Z8~m•(+]Z8~€{•{ ≤≥ } • 3J(2Q"##w N4Q4 ;'`U( -4 -4’:'-' ZYC;;' =:;;(&:;;!2'’; †]4(( 6;;$1 (O'“' &(7$1([(; ^'> (†' N M> M+4Q47$`4#U;'C -I mxxm TT T +=+ `I TMK −+=− mxmxm (I TcMK T =−+− xxm ZI MbKT T =+++− mxmmx c   M+>%%!N;'3-(GT 4%'[4Z/ bMTKMK T =−+−++ mxmxm M+$>%%!N`;'3-7 4%C T K TM TK M T m x m x m − + + + > M+3C 1;'%F T ˆTK%lTMFld%l€@, %!N; ^'> C -IGT 4%; )`4'`IGT 4%'[4Z/ (IGT 4%!")%ZIGT 4%; )`4'' 1QC o T T  T −=+ xx  M+^ 1; ^'>  bMKd T =+++− mxmmx -I, %!N; ^'> (GT 4%'[4Z/ `I, %!N; ^'> (G 4%$/;b#P 4%*4- (I, %!N; ^'> (GT 4%3-1( 1C b  T =+ xx M+_ 1; ^'>  TTMbTK TT =++++− mmxmx -I, %!N; ^'> (GT 4% T } xx ' 1Q T Txx =  `I4Q43R; ^'> (G -4 4% T } xx ‰'>% ' (#4a 4s-([( 4%!&( #U;7D4' -%3i% M+`4Q4([(;'7$([(`;'3-C -I dcT =+− xx `I pTc€ T −=+− xxx  (I Tob Td ≤−+ xx  ZI MbTMKcTK T >−−+ xxx  fI oT +≤− xx uI T  T ≤ − + + x x x x I dbbTT ≥−−− xx I xxxx bbMbKT TT +=−+ ; I2'’; † Cb T ≥+= tđkxxt M+a>%([(4[',(<-F' ”-%‰%e4`;'3- I  T < − x x  TI bTT +<− xx bI T T  T d d bx x x < − − + dI x x x > − +   oMT T b b d x x − − − ≥ b T mM T  Tx x ≥ + − M+b4Q4 ;'7$`;'3-C -I    =− =+ T md TT yx yx  `I    =++ =+++ o € TT yxxy yxyx  (I    =+ = T€ pm TT yx yx ZI    =− = oo Td TT yx yx fI    =− =− xyx yxy bT bT T T uI    =+ =+ b dT TT TT yxyx yx I      + < − −<+ o b d bT b € o b xx x x x I      +>+ +< + dpT€odT ToT T b€ xx x x €   @=Md‚ƒ=>MdOqD Br@As MZ(„.(4" #M25}(,-.,-. • ?4=!k4'^!^`!'' ((P(I%-%&'!4" 4N 4a 2M(…fC]D4 -43i-}`* )%' >C ba ba  T ≥ +  X/g@HFQ--@` KyX….]D43i* )%}'-(GC n n n aaa n aaa   T T ≥ +++ X/g@HFQ-* 47$( r* 4C n aaa ===  T ";\.M((tB{" #fg • -43i* )%-7$`(G'k* !k4' >'.( -`!8'* 4-@` • -43i* )%-7$`(G'.( * !k4' >'k-l`!8'V* 4-@` ;Z8" #!(4"2Q"Z( -I, #JCKLBM `I]U!†!, #J4Q4`;'C l?;''.( l?;'( -%‘ l?;'( -’'1Z/4[',''!i4 $;Z8" #(#(4"2Q"# -I, #JCKLBM `I]UZ†C l?;'' ^'.( l`;'`U( -4 ‚ : T >++∈∀ cbxaxRx    ⇔ > <∆   a ‚ : T <++∈∀ cbxaxRx    ⇔ < <∆   a M> M+4. -I bbdd abbaba +≥+ `I cabcabcba ++≥++ TTT (I abcaccbba €MMKMKK ≥+++ 7D4 }} ≥ cba  ZI pM  MKK >++++ cba cba 7D4 }} > cba p fI a a b b a c b b a +++ T T T T 7D4 }} > cba M+C>%V7$(<- I3iK=(GM -IuKFM@FKFM7D4 x `IuKFM@TFKbFTM7D4 b T x (I T MK + ++= x xxf 7D4FAT M+$wS'Z/`4N' (3-C -I ( ) ( ) ( ) 2 5 6 2 1 4 3 x x x g x x + = `IuKFM@bFKTFlcMKpbFM M+34Q4([(`;'3-C -I 9 5 1 x x + > `I 3 47 4 47 3 1 2 1 x x x x > (I T T xxx ZI Tdb T ++ xxx @=cPD Ă ÂĂÊÔ ƠƯĂĐă âÊêôƠƯĂĐă Ă ơÊ-đĂ ơÊ ƠƯĂĐă ĂàêảãđđÊáƠƯĂĐă M> ƠđạằẳẵắạẵắƠẵắặầẩẫạấạƯậèạẫăẵẻẽẽéẹềẫểẻễẵạếắạệàẵìỉ ầƠ b b To To bo do d d bo do bo To do b b b d b To do do bo bo b d d d bo bo bo bo ẫăặạĩệíĩịìẫầắòêỏẵõíĩịìẫ ằăóọầồổƠ 1 ẳẵắổạỗẵằốẵ 1 ẳẵắổạỗẵằốẵặ ẹăộẫờởẳẹềẫẹỗằăỡóọẵạồẵớợịớạùẵắồổìẵắẹềẫẹủẹầĩệạẵắ ƠđạũầĩệẹúằẳẵắổạỗẵằốẵốẵặắạợổầổẵạùẫƠ ạú Đạẳẵắ ốẵƯẵĩă ốẵặƯụĩă zm}{ p Từ T zp}p{ Tdddừ b zpT}pd{ p dTTTừ d zpo}pc{ m bbdừ ửẵắ @do ừ -M ữằĩứíựạòẵạẹỳốẵ ằăữằĩứíựạòẵạẹỳốẵặ (M ữằĩứíựíùỷẵắắặổạẩẹốẵ ỹăữằĩứíựạòẵạởậ ƠêíỳỹĩỳẹạĩĩờủọƯíỏẵõíỳỹĩầẹăẫạíùýẹũầĩệẫƠ dd db dT ddo dp om oT obd ooo om omd ocT ocd o oc o op op opb opd m mb mo mT