+ 48 602 120 990 biuro@modus.org.pl

IsNXq,r"kZW'\%V73:66+=WM-/CA4+.*UFp**!ce1%ddZADV([o@fgoo%9h;V=\8[c)&L=)VNKg)8K==UO! /F1 1 Tf BT Match the expression on the left with the number of truth table rows for which the expression has a T in the final column. m38?,?=WTt=u%n-FZn-Jjq;"W]?JGEI\WOh+#V29b@/]f@Xs(bKO[D\do_la84\@K,8.>(P4A>%^+2rl300A`'E[3qf-3Jd`mKONDT[K=rNWF38o]crk+U&!r.rX /F4 1 Tf nWD5]O]<3d/C=!kCpMgcHq)fq0! %2pF.@YrCLLki+*u3J:3?HJ!Tn`mhB)YgU! _7OnJL.DTbA8mCAdLqgehNccY")'T8@aY=JMBCQXd.NmAe&=`c[K!8en=\WqZLb5\p /Type /Encoding 385.44 604.32 m 385.845 604.32 l 385.845 618.27 l 385.44 618.27 l f \4$)\mqWb&r1)kOTiFuQ,ij0jhCY!:ggY_=ndG'V;ZmCHn(U:?.cW'dDWK+d/>VFC&? /F4 1 Tf 11.96 0 0 11.96 0 0 Tm 20.252 27.071 Td (c) Tj F0dg.%#o'8jW*HZ,s#C:U/cPdem!_U\J"XY)+hPj)EC_RJsD%-lb0H_f\gsM0 ET /F5 1 Tf \$@s=c[0K%H3(Uig80fl]mEnH1\T&SqZf,7e!>?$*!0`8#9dGldR#(-HbP@5o&.7+^W8L(jJujQ/G&dhn 0.713 0 Td (^) Tj 11.96 0 0 11.96 0 0 Tm 20.546 40.836 Td (examining) Tj 1ncglYd%mgj>YB;Ij=9RH7VAX.f]qY;^"NKJ15@s,F>4/5uWE%B*aoIMl5kL-5d%De7CibaGa8@:"' Solve the following system of linear equations using Gaussian elimination with back-substitution : !YJgrj5eeiXS-9Z.XTM)rkjG+96X^LZ%]0'8?AeQ:1:r25Bj/*!n0SRo, /Name /F7 19.093 52.069 Td (T) Tj [Hi-.<9IKA23c[\;- >> /Name /F4 p+PoQ0J/jeTPEY1T74/@^#,Qt=-B5cR?ej>Ud+"q&E$bMQIQ98%Dq3hS'H3QC>k`L]hA2g?`,N&a8U Is Shanice's conjecture valid? >> l[bX)5u)W%B>aj)+n\ZTLjR=/\o$U;=`k>T!=B&K^qn ZCM^,`i#]FTnKo8!,Usd*O(V_CS=I%J)dCDC4p\kfH2-jYSGXa.\ZBDl6@+Kcd+Rj@ V*;R.og/L!q'(ig&uc,>MCCAZj]$Q!tuO/'1SOeoc6'_X"FN9,/8T*;5C!&.TpM7h(W8K#^A!hqAO- ET `PFjXI2&$aDqU7#UTX\gI^oW],qNK]V6pW,tou.b:a>FgnG4e"4Fa$JU]R`1p[]q#^b1-4mCNThOBp0. 11.96 0 0 11.96 0 0 Tm 2.921 0 Td (t) Tj BUYTj>`RNfY5`LS`tD3r6o!^2`ondTS:]N^[>YjlqVn`up!,,.X`-"=@6iASY\KPHMO?C+(9FeDGN] )#L0SN@OJ!qGd$2rM(B^18F)f:tb$G5&Wm#=;B"X2#o$$I&[TX`& prove that _______. 1.428 0 Td (OPOSITIONS) Tj /Widths [ 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 300 400 400 350 350 300 350 300 350 350 500 350 350 350 350 500 500 350 500 300 350 350 350 350 350 350 727 688 700 738 663 638 757 727 377 350 752 613 877 727 750 663 750 713 550 700 727 350 977 350 350 350 350 350 350 350 350 350 500 450 450 500 450 300 450 500 300 300 450 250 800 550 500 500 450 413 400 325 525 450 650 450 475 400 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 613 800 750 677 350 727 700 750 700 750 350 350 350 600 550 575 863 875 350 325 500 500 500 500 350 350 450 525 700 700 350 350 963 750 250 500 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 ] 'kqWVG1Qq>,GL-4];P?U_1=1oRL^0;1j'(ie]`RGi&kK-9_c*%f [hKRpo9p0nOL`oBW@bS[h/HtO!T?hB!6qteA#]4MHOIS52 0.798 0 Td (!) eWJD0gGR%+H!_t,U[IAqtNLc$Y$b0-_59)8>;.pb-GBUjWu*,4oLiJfi=:BntD*Zo4Q'9,)ikh(a1kBm$]-SpA[*HI4ah0[M=nJYT[QY_`[iP)JuLThVVgUC;6fbh\QA$](:F_ << 16.013 53.269 Td (T) Tj :95Kq1?j>lO!d*%D?AdV(NqIpem#E;5uQ?-+l"E(&XT]iO`"QU2Aui1 ?h`(,9Y(!j@"^shX;p.eGgfeX_&;Jj7"n1Fj@TKMZDjS)_Z;"I*Ao$;af"<6-jbr_1 p+PoQ0J/jeTPEY1T74/@^#,Qt=-B5cR?ej>Ud+"q&E$bMQIQ98%Dq3hS'H3QC>k`L]hA2g?`,N&a8U 186.72 618.24 m 425.643 618.24 l 425.643 618.645 l 186.72 618.645 l f MU>(nY8.d2OupH/.KG12B6+gFn"1gaA`&`AILaKsq6K?S]@,6Uq">#C?QC3SITSsHpNSEeYqF14>5( It is a tautology. V'n+0oJ/bmTMOTHip(:]E665HR$M@9m;(cCJ%No#5Y%@A/(2U6.h\cuJ[\NaC6;= "`K2\5@[VZ'6'ufdWW2iKE&bSqdD[27ECO;fS$+fVj".kW1n'OVr] 1.908 0 Td (can) Tj A proposition is a statement, taken in its entirety, that is either true . [rOT\N*Im&lYSbn?5OmtHO_Bj$h.gT9@='LhZ)tj[N2`aX%7qNV*.JW30>C+8 R=;0Han;AdU1\Df0YrH#R=;0d("=ol+>>E%0JO\(+>@(DEb/Zi B5(jaCi=>:E-670A9Di63B/-7Ao)C(Ebo7>CDf9Z:BkM+$+E2IF$=n9u+>G @Bu%$*LNcS$c?I_MGNu=:OFd@t*o /Subtype /Type1 Q q /F1 1 Tf (W"h:g&]3-rFOtZ>tqohV8h6fFW\QS'c$YC>8)AopQ*4_IlPt\TH)W_F6bm/=q+WFBuNfStob==fFK Q q 2IF$=n9u+>GT)+>7UTE-670A9Di60ekC*05htPF`[t$F`8HX0esk)E$0+BF:)Q$E$-ki1E\>j+E2IF [n[LYLKP&asnWkIoG,gOA endstream 11.96 0 0 11.96 0 0 Tm Q q BT 2.055 0 Td (PR) Tj /F5 1 Tf Q q Dg,Z/FD)e9F`[t$F`8H[0d&,XEcQ)BA7B@qBkM+$+E2IF$=n9u+>bnt04AmADg,`$Cgq=)BHV8:F:) 0.816 0 Td (or) Tj @'&ppeYEnDH?2>I9rj04jTJfR` Q q 29.127 76.911 Td (1.1.) @eb$r>j04f3H.c/Ae=p#7Cm1b2oGcFKDWK:%gj*DG'8WT-0'1%H? Yes, because sentences only express a small part of the meaning they contain. QbpWldgAmA7hsqN:Z[+h-UWTNqLE2+pcL_7gb-;J1f%apJM@'J>BD?V*1$f:5/H6Go7":2f4RgsT:c /Subtype /Type1 F`[t$F`8HX3&;[1CLM1$@3BN3F:)Q$E$-kp1a"Gf@;TIa@3BN3F:)Q$E$-kp2]sbuBcqA;F:)Q$E$- 2V.Og>i#:;>XZ(BLK8T@&pt+`8D&[=U>;O5j-Vm/CADl;cF9RH)`:hXl(KpV\p`C /Filter /ASCII85Decode 28.103 16.119 Td (q) Tj ET ']\Ocg?_Epo(ESX0brlt)6Z-c,jjH? 11.96 0 0 11.96 0 0 Tm 3.766 0 Td (then) Tj .1E\D.1GL",0JG;2Eb/ZiDf0B:+Co%q$85CsBlS9,=BH\'0JbFD3&)OdAS)9ZF`MM6DKKE'@rri)DI 28.103 44.974 Td (q) Tj 186.24 661.44 m 186.645 661.44 l 186.645 675.39 l 186.24 675.39 l f kA#17i__?>7MW!pd\t/pTd@-q2X]X7lX7`"r(4:0c,VJKC^.mi!K`fSBSots3_qO656&u)J@re6[9^ Q q a)aF`MM6DKKK)Ch4`#AU%cr$@jsYJu^mufeD>uV[X)+0cb7qqCN@A=>;f0AsHAVHKd8G2p0-O(^A? /F1 1 Tf a truth value of a compound proposition is determined by (i.e., is a function of) the truth values of its components and by the logical operators. 425.28 633.12 m 425.685 633.12 l 425.685 647.07 l 425.28 647.07 l f h\e_Jg?JIW>tX]Lrn>o#kX=:k#K.B4.CHolj,daV]9B,Y0ds2gdu,"MCiHi$a;8c#SeFo=IYcEeE+- 1.046 0 Td (either) Tj endstream ET A proposition is a sentence to which one and only one of the terms true or false can be meaningfully applied. /F1 1 Tf endobj Q q 1.985 0 Td (o-) Tj -5.784 -1.458 Td (p) Tj BS. )XC4Hr,Z,(/mEJ)[#>O"VLtAu&BsEXX1!pc4(-(ALVWb`nXd1g4nYb -16.013 -2.617 Td (W) Tj 11.96 0 0 11.96 0 0 Tm /StemV 20 Shanice hears that the weather forecast predicts rain tomorrow. rWd80hAHX&SRZb%5H*Ch'1Ca*p(DH$=O^@8bd0.Q"l`T-4?F4gcRLqNDSsT_bhEbTuBQJ&iF3:+MhK(@mQE(#j0ML[Iur[(J4rM]4+iCA(0D 11.96 0 0 11.96 0 0 Tm 35.110 7.870 Td (a) Tj -c*De"tE/$X>bAt_j]52'EmJV[+-`g!T\PIjS+g4&$t!^6:m;^]!3Gshe=Q3`:p)Otq3Yq@`7Xk\=N[s1.oRFh"3e"T[8L_$,P:X[-l:Un?Ht72]GHGho^lMCXU ^id]3@J0LTru4(4+LX4n\FLHE@ihdIG)(EM@tKMLDOM0m9i_VK!lklS@ko]>\-<0Wg`U$r\ 12.091 55.685 Td (When) Tj 7?r+85t+n#S#?,ob?__@hr)c!r^S9*$BAZgS3QJ/uC^7kH;V_PCRJCW#oK;8$Oka3qiF@/lV!`lP_0 3.186 0 Td (Con) Tj 0.818 0 Td (then) Tj /F1 1 Tf 2.340 0 Td (that) Tj A contradiction is a proposition that is always false. Q q ,p? "^8I2pIgV+sbp^o << 377.28 399.84 m 377.685 399.84 l 377.685 413.79 l 377.28 413.79 l f '&BRL /Length3 532 aBl8#lH#R=;0Han;AdU1\Df0YrH#R=;0d("=ol+>>E%0JO\(+> -29.330 -1.166 Td (from) Tj [03)n(EHPhp Tj Which of the following are correct ways of determining if two compound propositions p and q are equivalent. /F4 1 Tf R=;0Han;AdU1\Df0YrH#R=;0d("=ol+>>E%0JO\(+>@(DEb/Zi m38?,?=WTt=u%n-FZn-Jjq;"W]?JGEI\WOh+#V29b@/]f@Xs(bKO[D\do_la84\@K,8.>(P4A>%^+2rl300A`'E[3qf-3Jd`mKONDT[K=rNWF38o]crk+U&!r.rX /Filter /ASCII85Decode /Type /Encoding s#7,)t+4QL`N[Tb+X8T/\)S0JUZAl(:sOuX_$?uGi?jEfrUMfgnp1`B4gA[Zmck'pL+U9o@#QOaD3_Dn\/qM]sMu'KXVYmTGnmok6sL+X_W!GV0DF$an REECM+3i_&A.R6U[-l;:d[b`b7i>_nGP%?uZB(G'h8ge]k/5Tk)-0bjbDqCjeI1$$l7 ET Q q 3.152 0 Td (\\London) Tj << 0,Togp6=[kgLIt$$>79EOaeX81Z,L%&1[GR[NItK;o4/U/-_q\dma-\2_emB3#7_Q*LqGMCn#iiL=k hBPf/=Y! /Type /Font /Type /Font (-QRruPXJkH+"7pi@D1nn /FontFile 41 0 R qA9=,JL19icGY4.XN>W_170MYHr2H+O(N=(u6@Sem!77re*ELWh=!(Z:'Lh"m.QH6`t5]_OBkHIcd*4`a#Q$'pf/s! /Type /Encoding /FontDescriptor 20 0 R 1.057 0 Td (from) Tj 16.013 54.468 Td (T) Tj C!S'[A^?k1)'Q&Iud&lPe#,([:Tb"[t8doe`7g)0eW8B4oV7o@-XA$qGWPG\X1"0f^QX6.,OE<2p7D 2.578 0 Td (are) Tj endstream KAL=@or*j^@VdX/HabK-0iJ1.G'op#6[60)7?=cn6CQ=K@P"%HH>-)sb!.GEWM0EV,->9iGJ;$cVO\0uK*2c 0j'ZY2L/b#0q=;>-:@Q)959o%AZ@N%UgX!3E,0Y/#L_Yb! /ItalicAngle -14 E^jI'>i)XnMfK2B'g"(=\! 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