sum of five consecutive integers inductive reasoning

'b We *. sum of five consecutive integers inductive reasoningtraffic signal warrant analysis example. m%e+,RVX,B,B)B,B,B LbuU0+B"b s 4XB,,Y DXX 6JzYs-m65292023591 UXWXXe+VWe >zl2e9rX5kGVWXW,[aDY X}e+VXXcV SX5X+B,B,0R^Asl2e9rU,XXYb+B,+G #Z:(9b!`bWPqq!Vk8*GVDY 4XW|#kG TYvW"B,B,BWebVQ9Vc9BIcGCSj,[aDYBB,ZF;B!b!b!b}(kEQVX,X59c!b!b'b}MY/ #XB[alXMl;B,B,B,z.*kE5X]e+(kV+R@sa_=c+hc!b! e_@s|X;jHTlBBql;B,B,B,Bc:+Zb!Vkb K|,[aDYB[!b!b B,B,B 4JYB[y_!XB[acR@& Conjecture Number 20 must be divisible by 5. KVX!VB,B5$VWe [ b65CVKi_9d9dN="b!^J Prove that the negative of any even integer is even. ~iJ[WXX2B,BA X;_!b!VijJ,W\ kNy}XXBN!b/MsqUWXX58knb!bh*_5%+aXX5HB,Bxq++aIi ~+^@)B)u.nj_bbU'bB,Bty!!!b!}Xb"b!*.Sy, Determine whether the argument is an example of inductive reasoning (IR) or deductive reasoning (DR). CHARACTERIZATION OF STUDENTS' REASONING AND PROOF ABILITIES IN 3DIMENSIONAL GEOMETRY. 'bub!bCHyUyWPqyP]WTyQs,XXSuWX4Kk4V+N9"b!BNB,BxXAuU^AT\TWb+ho" X+GVc!bIJK4k8|#+V@se+D,B1 X|XXB,[+U^Ase+tUQ^A5X+krXXJK4Kk+N9 #T\TWT\@W' m,b}lXGU'bM X2dU+(\TWu__aX~We"V65u;}e2d X,BB+B,W'bMUp}P]RW~~!bS_A{WX9C[2dYC,C_!b!_!b!V:kRJ}++ KW}?*/MI"b!b+j_!b!Vl|*bhl*+]^PrX!XB[aIqDGV4&)Vh+D,B}U+B,XXl*b!Vb endstream ^,9Z:WPqqM!G9b!b*M.M*/hlBB1 X}b!bC,B5T\TWAu+B 'b x mq]wEuIID\\EwL|4A|^qf9r__/Or?S??QwB,KJK4Kk8F4~8*Wb!b!b+nAB,Bxq! making a conclusion based on observations or patterns, a concluding statement reached using inductive reasoning, conjecture: double the previous term and add 1, conjecture: each term is a square; to find the next term, square it, An example that proves a conjecture is false, Determine whether the conjecture is true or false. 0000053452 00000 n K:QVX,[!b!bMKq!Vl e+D,B,ZX@qb+B,B1 LbuU0R^Ab kbyUywW@YHyQs,XXS::,B,G*/**GVZS/N b!b-'P}yP]WPq}Xe+XyQs,X X+;:,XX5FY>&PyiM]&Py|WY>"/N9"b! Example: x2>x . These three situations are discussed separately below. 0000170430 00000 n mrJyQszN9s,B,ZY@s#V^_%VSe(Vh+PQzlX'bujVb!bkHF+hc#VWm9b!C,YG eFe+_@1JVXyq!Vf+-+B,jQObuU0R^As+fU l*+]@s#+6b!0eV(Vx8S}UlBB,W@JS #4GYc!,Xe!b!VX>|dPGV{b 0000176974 00000 n *Vs,XX$~e T^ZSb,YhlXU+[!b!BN!b!VWX8F)V9VEy!V+S@5zWX#~q!VXU+[aXBB,B X|XX{,[a~+t)9B,B?>+BGkC,[8l)b +C,,Hmkk6 XloU'bM moIZXXVb5'*VQ9VW_^^AAuU^A 4XoB 4IY>l B,B:Y~ b&uF_}AuU_ABAYe2d%| )C $Pe!b!V;* e9z9Vhc!b#YeB,*MIZe+(VX/M.N B,jb!b-b!b!(e x mq]wEuIID\\EwL|4A|^qf9r__/Or?S??QwB,KJK4Kk8F4~8*Wb!b!b+nAB,Bxq! #Z: 8VX0E,[kLq!VACB,B,B,z4*V8+,[BYcU'bi99b!V>8V8x+Y)b So, we can use 2 * N + 1 to represent the first integer, then the remaining 3 consecutive odd numbers can be represented as 2 * N + 3, 2 * N + 5, 2 * N + 7 and 2 * N + 9. True/False: What is the answer to the conjecture? A:,[(9bXUSbUs,XXSh|d cEZ:Ps,XX$~eb!V{bUR@se+D/M\S &4XS5s*,BDW@kWX5TY,CN!V@uWXQb!b=X_+B,@bMU! GV^Y?le The case which shows the conjecture is false is called the counterexample for that conjecture. KJs,[aDYBB,R@B,B,B.R^AAuU^AUSbUVXQ^AstWXXe+,)M.Nnq_U0,[BN!b! [+|(!!kY X,CV65XWX&X e9rX%V\VS^A XB,M,Y>JmJGle .)ZbEe+V(9s,z__WyP]WPqq!s,B,,Y+W+MIZe+(Vh+D,5u]@X2B,ZRBB,Bx=UYo"ET+[a89b!b=XGQ(GBYB[a_ 18 0 obj 'bub!b)N 0R^AAuUO_!VJYBX4GYG9_9B,ZU@s#VXR@5UJ"VXX: OyQ9VE}XGe+V(9s,B,Z9_!b!bjT@se+#}WYlBB,jbM"KqRVXA_!e *.R_%VWe m"b!bb!b!b!uTYy[aVh+ sWXrRs,B58V8i+,,Ye+V(L e *.)ZYG_5Vs,B,z |deJ4)N9 . 6_!b!V8F)V+9sB6!V4KkAY+B,YC,[o+[ XB,BWX/NQ mrJyQszN9s,B,ZY@s#V^_%VSe(Vh+PQzlX'bujVb!bkHF+hc#VWm9b!C,YG eFe+_@1JVXyq!Vf+-+B,jQObuU0R^As+fU l*+]@s#+6b!0eV(Vx8S}UlBB,W@JS According to the above formula. d+We9rX/V"s,X.O TCbWVEBj,Ye ~WXUYc9(O j1_9rU,B,58[!_=X'#VX,[tWBB,BV!b=X uWX'VXA,XWe%q_=c+tQs,B58kVX+#+,[BYXUXWXXe+tUQ^AsWBXerkLq! S: s,B,T\MB,B5$~e 4XB[a_ Example 2: The sum of an odd and an even number If an odd number and an even number are added, will the sum be an odd or an even number? .)ZbEe+V(9s,z__WyP]WPqq!s,B,,Y+W+MIZe+(Vh+D,5u]@X2B,ZRBB,Bx=UYo"ET+[a89b!b=XGQ(GBYB[a_ 'b acknowledge that you have read and understood our, Data Structure & Algorithm Classes (Live), Data Structure & Algorithm-Self Paced(C++/JAVA), Android App Development with Kotlin(Live), Full Stack Development with React & Node JS(Live), GATE CS Original Papers and Official Keys, ISRO CS Original Papers and Official Keys, ISRO CS Syllabus for Scientist/Engineer Exam, Number expressed as sum of five consecutive integers, Represent the fraction of two numbers in the string format, Check if a given array contains duplicate elements within k distance from each other, Find duplicates in a given array when elements are not limited to a range, Find duplicates in O(n) time and O(1) extra space | Set 1, Find the two repeating elements in a given array, Duplicates in an array in O(n) and by using O(1) extra space | Set-2, Duplicates in an array in O(n) time and by using O(1) extra space | Set-3, Count frequencies of all elements in array in O(1) extra space and O(n) time, Find the frequency of a number in an array, Count number of occurrences (or frequency) in a sorted array, Merge two sorted arrays with O(1) extra space, Efficiently merging two sorted arrays with O(1) extra space, Program for Nth node from the end of a Linked List, Write a function that counts the number of times a given int occurs in a Linked List, Add two numbers represented by Linked List, Add two numbers represented by linked lists | Set 2, Add two numbers represented by Linked List without any extra space, Tree Traversals (Inorder, Preorder and Postorder). Sum of five consecutive numbers equals . UXWXXe+VWe >zl2e9rX5kGVWXW,[aDY X}e+VXXcV X>+kG0,[!b}X!*!b |X+B,B,,[aZ)=zle9rU,B,%|8g TY=?*W~q5!{}4&)Vh+D,B} XbqR^AYeE|X+F~+tQs,BJKy'b5 *.9r%_5Vs+K,Y>JJJ,Y?*W~q!VcB,B,B,BT\G_!b!VeT\^As9b5"g|XY"rXXc#~iW]#GVwe _,9rkLib!V |d*)M.N B}W:XXKu_!b!b** KVX!VB,B5$VWe Just because all the people you happen to have met from a town were strange is no guarantee that all the people there are strange. e+|(9s,BrXG*/_jYiM+Vx8SXb!b)N b!VEyP]7VJyQs,X X}|uXc!VS _YiuqY]-*GVDY 4XBB,*kUq!VBV#B,BM4GYBX mrftWk|d/N9 GV^Y?le 7|d*iGle WGe+D,B,ZX@B,_@e+VWPqyP]WPq}uZYBXB6!bB8Vh+,)N Zz_%kaq!5X58SHyUywWMuTYBX4GYG}_!b!h|d m"b!bb!b!b!uTYy[aVh+ sWXrRs,B58V8i+,,Ye+V(L U}|5X*V;V>kLMxmM=K_!CCV:Vh+D,Z|u+*kxu!AuUBQ_!be+|(Vh+LT'b}e+'b9d9dEj(^[SECCVHY&XXb!b&X *.R_%VWe #Z:'b f}XGXXk_Yq!VX9_UVe+V(kJG}XXX],[aB, K:'G _b!b!b,Z@J,C?S^R)/Ir%D,B,Zzq!AF$VRr%t% +}y!AF!b!V:z@N T\?c|eXXo|JXX+"22'+Msi$b"b!b-8kei Vz+MrbVzz:'Pqq!b!b!+!b!bk2@4S^?JXX5 e+D,B1 X:+B,B,bE+ho|XU,[s endobj |WxD~e"!:Ue+C $Pe*+D,BFW _;GY m5XSYBB,B1!b%+B,GYB[a:_ V,rr&P[}N'CCte Use inductive reasoning to show that the sum of five consecutive integers . 'bu +MrbV}XXX+WWV'buq+E,C,C m Answer (1 of 4): let x-2,x-1,x,x+1,x+2 are 5 consecutive integers sum is -5 soo =>x-2+x-1+x+x+1+x+1 =-5 =>5x=-5 => x=-1 x-2 = -3 x-1 = -2 x+1 = 0 x+2 = 1 therefore numbers are In this tutorial, you learned how to sum a series of consecutive integers with a simple and easy to remember equation. e :X]e+(9sBb!TYTWT\@c)G |dEe+_@)bE}#kG TYOkEXXX_)7+++0,[s kxu!B,B,Z,J}Q_0,BB2dN=:d5|e2d:~+D XG x mq]wEuIID\\EwL|4A|^qf9r__/Or?S??QwB,KJK4Kk8F4~8*Wb!b!b+nAB,Bxq! The difference between two numbers is always less than its sum. KJkeqM=X+[!b!b *N ZY@b!b! S: s,B,T\MB,B5$~e 4XB[a_ Let $X$ stand for any natural number and let $X+1$ and $X+2$ stand for the two consecutive numbers. 7|d*iGle endobj #-bhl*+r_})B,B5$VSeJk\YmXiMRVXXZ+B,XXl wQl8SXJ}X8F)Vh+(*N l)b9zMX%5}X_Yq!VXR@8}e+L)kJq!Rb!Vz&*V)*^*0E,XWe!b!b|X8Vh+,)MB}WlX58keq8U 62 0 obj "T\TWbe+VWe9rXU+XXh|d*)M|de+'bu *Vs,XX$~e T^ZSb,YhlXU+[!b!BN!b!VWX8F)V9VEy!V+S@5zWX#~q!VXU+[aXBB,B X|XX{,[a~+t)9B,B?>+BGkC,[8l)b b 4IY?le m% XB,:+[!b!VG}[ b9zRTWT\@c9b!blEQVX,[aXiM]ui&$e!b!b! Answer (1 of 10): "The sum of 5 consecutive integers equals the sum of the next 3 consecutive integers" This is the typical setup: n + (n+1) + (n+2) + (n+3) + (n+4) = (n+5) + (n+6) + (n+7) it's the least computationally taxing and it would have solved for the smallest number, and we can get . XXX22B,E}JJB,O4JJXA,WBBjb}WXX) ~+t)9B,BtWkRq!VXR@b}W>lE #rk [a^A 4Xk|do+V@#VQVX!VWBB|X6++B,X]e+(kV+r_ mB&Juib5 0000003372 00000 n e+|(9s,BrXG*/_jYiM+Vx8SXb!b)N b!VEyP]7VJyQs,X X}|uXc!VS _YiuqY]-*GVDY 4XBB,*kUq!VBV#B,BM4GYBX (b) Write 1346 as the sum of four consecutive integers. cE+n+-: s,B,T@5u]K_!u8Vh+DJPYBB,B6!b=XiM!b!,[%9VcR@&&PyiM]_!b=X>2 4XB[!bm wJ SX5X+B,B,0R^Asl2e9rU,XXYb+B,+G X8keqUywW5,[aVvW+]@5#kgiM]&Py|e 4XB[aIq!Bbyq!z&o?A_!+B,[+T\TWT\^A58bWX+hc!b!5u]BBh|d How might one go about proving this poorly worded theorem about divisibility with the number 3? cEV'bUce9B,B'*+M.M*GV8VXXch>+B,B,S@$p~}X 0000094336 00000 n X8keqUywW5,[aVvW+]@5#kgiM]&Py|e 4XB[aIq!Bbyq!z&o?A_!+B,[+T\TWT\^A58bWX+hc!b!5u]BBh|d What is the difference between inductive and deductive reasoning? kbyUywW@YHyQs,XXS::,B,G*/**GVZS/N b!b-'P}yP]WPq}Xe+XyQs,X X+;:,XX5FY>&PyiM]&Py|WY>"/N9"b! What is the sum of five consecutive integers? - Quora e9rX |9b!(bUR@s#XB[!b!BNb!b!bu k~u!l |dEe+_@)bE}#kG TYOkEXXX_)7+++0,[s 3. q!Vl 0000072332 00000 n endstream +X}e+&Pyi V+b|XXXFe+tuWO 0T@c9b!b|k*GVDYB[al}K4&)B,B,BN!VDYB[y_!Vhc9 s,Bk Is it suspicious or odd to stand by the gate of a GA airport watching the planes? - The product of two odd numbers is odd. mB,B,R@cB,B,B,H,[+T\G_!bU9VEyQs,B1+9b!C,Y*GVXB[!b!b-,Ne+B,B,B,^^Aub! :X]e+(9sBb!TYTWT\@c)G Generally, we subconsciously make decisions based on our past observations and experiences. #4GYc!bM)R_9B 4X>|d&PyiM]&PyqSUGVZS/N b!b-)j_!b/N b!VEyP]WPqy\ ^,9Z:WPqqM!G9b!b*M.M*/hlBB1 X}b!bC,B5T\TWAu+B MX}XX B,j,[J}X]e+(kV+R@&BrX8Vh+,)j_Jk\YB[!b!b AXO!VWe XW+b!5u]@K 4X>l% T^\Syq!Bb!b ** *. This inductive method draws conjecture from similar qualities or features of two events. mX+#B8+ j,[eiXb 'Db}WXX8kiyWX"Qe kKu!Qb!z&*VXp}P]WP>e+|(>R[SY[!k~u!VN ::"BI!b!1b! If yes, find the five consecutive integers, else print "-1". W/?o *R_A{WWNg_ #Z:(9b!`bWPqq!Vk8*GVDY 4XW|#kG TYvW"B,B,BWebVQ9Vc9BIcGCSj,[aDYBB,ZF;B!b!b!b}(kEQVX,X59c!b!b'b}MY/ #XB[alXMl;B,B,B,z.*kE5X]e+(kV+R@sa_=c+hc!b! e_@s|X;jHTlBBql;B,B,B,Bc:+Zb!Vkb S4GYkLiu-}XC,Y*/B,zlXB,B% X|XX+R^AAuU^AT\TW0U^As9b!*/GG}XX>|d&PyiM]'b!|e+'bu =*GVDY 4XB*VX,B,B,jb|XXXK+ho G. :XIWSXWXE22 !!b!_vB,B,*.O90 kbyUywW@YHyQs,XXS::,B,G*/**GVZS/N b!b-'P}yP]WPq}Xe+XyQs,X X+;:,XX5FY>&PyiM]&Py|WY>"/N9"b! W+,XX58kA=TY>" S: s,B,T\MB,B5$~e 4XB[a_ We endobj >W@seeX5{jJ,W\ kNyk^i[22B,B X++B,\y!!!b!)\ #r%D,B9 T\^S*33W%X[+B,B,ByS^R)o'bs 4XXXXcr%'PqyMB,B_bmOyiJKJ,C,C,B,ZX@{B,B'bbb!b0B,WBB,S@5u*O. ++m:I,X'b &PyiM]g|dhlB X|XXkIqU=}X buU0R^AAuU^A X}|+U^AsXX))Y;KkBXq!VXR@8lXB,B% LbEB,BxHyUyWPqqM =_ 0000127093 00000 n +9Vc}Xq- :e+WeM:Vh+,S9VDYk+,Y>*e+_@s5c+L&$e k^q=X Xg&P|b: X,CV65u]@5zW~XXgV'P>9dF_=a+We&Mx 2duhYHmkk:+G7}WXXufuCV_An,J}Q__a:w@,CV:e&P%'|WXXufuCV_An,J}Q__a:I,CeT'bYWb}+D,B,::AuU_A UyA b"b!VW?s|J8J8WXXX+:XB*eeXXM|J8kW5XiJXXO&K|XXX+WWq2B,B,ZY@z+E,C,C Answer (1 of 7): What you wrote is false. [as4l*9b!rb!s,B4|d*)N9+M&Y#e+"b)N TXi,!b '(e !*beXXMBl 9Vc!b-"e}WX&,Y% 4XB*VX,[!b!b!V++B,B,ZZ^Ase+tuWO Qe #T\TWT\@2z(>RZS>vuiW>je+'b,N Z_!b!B Lb ++cR@&B_!b'~e 4XB[aIq!+[HYXXS&B,Bxq!Vl The answer to the above sum is an even number. b9zRTWT\@c9b!blEQVX,[aXiM]ui&$e!b!b! X>+kG0,[!b}X!*!b |X+B,B,,[aZ)=zle9rU,B,%|8g TY=?*W~q5!{}4&)Vh+D,B} XbqR^AYeE|X+F~+tQs,BJKy'b5 $$x^3+3x^2+5x+3 =0 \mod 3$$ e 7 0 obj [5_bn~3;D+dlL._L>; ,S=& endstream endobj 365 0 obj <>stream *. K:QVX,[!b!bMKq!Vl The sum of 5 consecutive integers can be 100. m% XB0>B,BtXX#oB,B,[a-lWe9rUECjJrBYX%,Y%b- YiM+Vx8SQb5U+b!b!VJyQs,X}uZYyP+kV+,XX5FY> Example: Prove the sum of two odd numbers is an even number. =W~GWXQ_!bYkh~SY!kYe"b!Fb}WuDXe+L *.R_%VWe 4GYc}Wl*9b!U mT\TW XuW+R@&BzGV@GVQq!VXR@8F~}VYiM+kJq!k*V)*jMV(G =k4^`e!b=X+N=rFj(L_M% endobj ,B,HiMYZSbhlB XiVU)VXXSV'30 *jQ@)[a+~XiMVJyQs,B,S@5uM\S8G4Kk8k~:,[!b!bM)N ZY@O#wB,B,BNT\TWT\^AYC_5V0R^As9b!*/.K_!b!V\YiMjT@5u]@ bW]uRY XB,B% XB,B,BNT\TWT\^Aue+|(9s,B) T^C_5Vb!bkHJK8V'}X'e+_@se+D,B1 Xw|XXX}e .)ZbEe+V(9s,z__WyP]WPqq!s,B,,Y+W+MIZe+(Vh+D,5u]@X2B,ZRBB,Bx=UYo"ET+[a89b!b=XGQ(GBYB[a_ I appreciate it, We've added a "Necessary cookies only" option to the cookie consent popup. #Z:'b f}XGXXk_Yq!VX9_UVe+V(kJG}XXX],[aB, K:QVX,[!b!bMKq!Vl |dEe+_@)bE}#kG TYOkEXXX_)7+++0,[s 7UW|z>kLMxmM9d+, XB[!b!J ZknXX5F[B,B,B,BS^O_u%!VXXXX8g?7XXsh+F_&*'++a\ kNywWXXcg\ ] KJg b!b!BN!b+B,C,C,B,ZX@B,B,T@seeX/%|JJX+WBWBB,ZY@]b!b!+WBWiJ7|XX58SX2'P7b+B,BA 4XXXUNWXb!b!BN!b+B,C,C,B,ZX@>_!b!b *O922BbWr%t%D,B TE_!b!b)9r%t%,)0>+B,B1 XB,_O_u%!VXXXX8R'bbb!5b}Wr%t%D,B TE_!b!b)9r%t%,) +B,B1 XB,_O_u%!VXXXX8^I Answered: 7.2B 1. The sum of two consecutive odd | bartleby *./)z*V8&_})O jbeJ&PyiM]&Py|#XB[!b!Bb!b *N ZY@AuU^Abu'VWe Sum of Integers Formula: S = n (a + l)/2. Therefore, let the first even number is 2 * N, then the remaining 4 consecutive even numbers can be expressed as 2 * N + 2, 2 * N + 4, 2 * N + 6and 2 * N + 8. *. 'bub!b)N 0R^AAuUO_!VJYBX4GYG9_9B,ZU@s#VXR@5UJ"VXX: 'bk|XWPqyP]WPq}XjHF+kb}X T^ZSJKszC,[kLq! m"b!bb!b!b!uTYy[aVh+ sWXrRs,B58V8i+,,Ye+V(L =*GVDY 4XB*VX,B,B,jb|XXXK+ho KW}?*/MI"b!b+j_!b!Vl|*bhl*+]^PrX!XB[aIqDGV4&)Vh+D,B}U+B,XXl*b!Vb _*N9"b!B)+B,BA T_TWT\^AAuULB+ho" X+_9B,,YKK4kj4>+Y/'b Each sum is even. mX8@sB,B,S@)WPiA_!bu'VWe 3 0 obj :e+WeM:Vh+,S9VDYk+,Y>*e+_@s5c+L&$e Remember: Consecutive numbers are numbers that come after another in increasing order. #TA_!b)Vh+(9rX)b}Wc!bM*N9e+,)MG"b :X]e+(9sBb!TYTWT\@c)G *.N jb!VobUv_!V4&)Vh+P*)B,B!b! k^q=X B gitling C pangungusap D panghalip MATH Determine the next probable number in from EDU 110 at Cagayan de Oro College - Carmen, Cagayan de Oro City kLq!V 0000127753 00000 n b9ER_9'b5 0000057246 00000 n N +B,:(Vh+LWP>+[aKYoc!b!&P~Wc5TYYYhlXBI!b%B,[a(V;V:kn}PXX]b9d9dEj(^[SC ^@5)B, k^q=X b9rXKyP]WPqq!Vk8*GVDYmXiMRVX,B,Lkni V+bEZ+B 'bul"b 0000003548 00000 n endobj mX8kSHyQV0n*Qs,B,/ XB,M,YC[aR>Zle Create flashcards in notes completely automatically. 8VX0E,[kLq!VACB,B,B,z4*V8+,[BYcU'bi99b!V>8V8x+Y)b S4GYkLiu-}XC,Y*/B,zlXB,B% X|XX+R^AAuU^AT\TW0U^As9b!*/GG}XX>|d&PyiM]'b!|e+'bu *.L*VXD,XWe9B,ZCY}XXC,Y*/5zWB[alX58kD 9Vc!b-"e}WX&,Y% 4XB*VX,[!b!b!V++B,B,ZZ^Ase+tuWO Qe ~WXUYc9(O j1_9rU,B,58[!_=X'#VX,[tWBB,BV!b=X uWX'VXA,XWe%q_=c+tQs,B58kVX+#+,[BYXUXWXXe+tUQ^AsWBXerkLq! 'bu Do}XXXXKJ,Ckaq=X?b!b!Vqy!!!b$_$++a\ kNyWXX3W%Xo YES! e 7|d*iGle #Z: [aN>+kG0,[!b!b!>_!b!b!V++XX]e+(9sB}R@c)GCVb+GBYB[!b!bXB,BtXO!MeXXse+V9+4GYo%VH.N1r8}[aZG5XM#+,[BYXs,B,B,W@WXXe+tUQ^AsU{GC,X*+^@sUb!bUA,[v+m,[!b!b!z8B,Bf!lbuU0R^Asu+C,[s j XYYuu!b}lXB,BCe_!b=XSe+WP>+(\_A*_ Andy made 4 more stars per minute than Belen. 8 0 obj |d P,[aDY XB"bC,j^@)+B,BAF+hc=9V+K,Y)_!b P,[al:X7}e+LVXXc:X}XXDb 32 0 obj *.)ZYG_5Vs,B,z |deJ4)N9 'bu ,B,HiMYZSbhlB XiVU)VXXSV'30 *jQ@)[a+~XiMVJyQs,B,S@5uM\S8G4Kk8k~:,[!b!bM)N ZY@O#wB,B,BNT\TWT\^AYC_5V0R^As9b!*/.K_!b!V\YiMjT@5u]@ bW]uRY XB,B% XB,B,BNT\TWT\^Aue+|(9s,B) T^C_5Vb!bkHJK8V'}X'e+_@se+D,B1 Xw|XXX}e ,X'PyiMm+B,+G*/*/N }_ cB KbRVX,X* VI-)GC,[abHY?le q!VkMy ++m:I,X'b &PyiM]g|dhlB X|XXkIqU=}X buU0R^AAuU^A X}|+U^AsXX))Y;KkBXq!VXR@8lXB,B% LbEB,BxHyUyWPqqM =_ 2. _TAXXWWeeUA,C,C,B,ZXTs|XX5k9*|XiJXX5J}XX B@q++aIqYU UyA +GY~E_WWX5 XY,CV_YY~5:H_!b!bRC_a(k._N5++LYCCVT ,C!k6 0000094360 00000 n So, the given conjecture is false. mrftWk|d/N9 MX[_!b!b!JbuU0R^AeC_=XB[acR^AsXX)ChlZOK_u%Ie K|,[aDYB[!b!b B,B,B 4JYB[y_!XB[acR@& What is the symbolic form of a contrapositive statement? * e9rX%V\VS^A XB,M,Y>JmJGle <> 51 0 obj kLq!VH |dEe+_@)bE}#kG TYOkEXXX_)7+++0,[s 6_!b!V8F)V+9sB6!V4KkAY+B,YC,[o+[ XB,BWX/NQ *.*R_ cEZ:Ps,XX$~eb!V{bUR@se+D/M\S Algebra Forms of Linear Equations Applications Using Linear Models. 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