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Text File | 2000-04-01 | 3.8 KB | 329 lines

>3.Simple inequality. (Asking for hints) x-3(1-x)<2x MYSZEK 2xy EXAMPLE e t101 p30 t0 t1 p5 t0 zr t4 p8 t0 v500 zrm kC t6 p3 t0 cxm k-m c3m n(m c1m k-m cxm n)m k<m c2m cxm t8 OT10 t0 ke t10 p3 t0 kem p10 oxm k? t12 p30 t0 kS t14 p5 t0 sl slm3 k? t16 p6 t0 k?m oe p15 oem oe p15 oem ox p10 oxm t18 p8 t0 kS spm kx kxm sh shm kx kxm sp spm sp spm k? t20 p6 t0 k?m ox p10 oxm sp spm kx kxm c3 c3m sp spm c3 c3m sl slm4 kb kbm ke t22 p10 t0 kem p10 oxm k? t24 p4 t0 k?m ox p10 oxm kx t26 p5 t0 kxm sp spm kx kxm k+ k+m sp spm2 kx kxm ke t28 p5 t0 kem p10 oxm se t30 p6 t0 sem k+ k+m c3 c3m sh shm ss t32 p8 t0 ssm spm3 ssm kx kxm sp t34 p6 t0 spm sp spm k- k-m cx cxm sp spm kx kxm kx kxm shm t36 p8 t0 ssm sp spm sp spm sp spm ssm c2 c2m ke t28 p5 t0 kem p10 oxm cx t40 p6 t0 cxm k<m c1m k/ k/m sg sgm c1 c1m sd sdm c2 c2m ke t43 p5 t0 kem p10 oxm ke t42 p5 t0 kem p10 oxm t44 p8 t0 sUm p1 sUm p1 sUm p1 sUm p1 ze t102 p15 t0 zxm zem e q BLURB 1`#We are going to solve`the simple inequality: 1`#"$x-3(1-x)<2x"$ 4`#To open the &Equations& window 4`#we click on the on-screen icon. 4`#The mouse is pointing at the icon. 6`We write the problem in the window. 8`#It is very useful to read the texts 8`#which appear below the title of the window. 10`After formulating the problem we press &"ENTER"&. 12`If necessary we can &ask the program for a &hint&. 12`To do that we place the cursor at 12` an inequality or equality sign, 12` a bracket, 12` a fraction, 12` a root, 12` an absolute value sign, 12` a number with a power, 12` a variable with a power, 12` "$+"$,"$-"$,"$*"$,"$:"$ sign 12`and press the &space bar& or click the &right& mouse button. 14`#Using the &left& arrow we place 14`#the cursor at the inequality sign ... 16`and ask the program for a hint. 18`#Following the program's advice, we reduce 18`#similar terms between the sides of the inequality. 18`#We transfer "$x"$ to the right-hand side of the 18`#inequality and perform the subtraction 18`#"$2x-x=x"$. 20`We place the cursor at the bracket 20`#and ask for a hint again. 22`#Having transformed the expression 22`#we press &"ENTER"& again. 22`#It is better to check the solution often 22`#because then if we make a mistake 22`#it is easier to find it. 24`We ask the program for a hint again. 26`We follow the program's advice. 28`We press &"ENTER"& again. 30`#We transfer the number "$-3"$ to 30`#the right-hand side of the inequality. 30`#We have to change the sign of the number. 32`#To remove "$-3+"$ we mark the block 32`#(&SHIFT&+&right& arrow). 32`#and press &Delete&. 34`#We transfer the variable "$x"$ to the left-hand side of 34`#the inequality. We have to change the sign of "$x"$. 36`We reduce similar terms: 36`#"$3x-x=2x"$. 36`#To replace $"3x-$" by $"2$" we mark the block 36`#(&SHIFT&+&right& arrow) and press the &$"2$"& key. 40`We write @x<1/Ø1±≤2±@. 42`#This result can be accepted as the final answer. 42`#We press "&ENTER&" 42`#&without making any changes& in the expression. ;42`#We press the &"Answer"& button. 44`By clicking on the tabs we can look through all the steps. 43`#We press "&ENTER&". 101`#We show how to use 2xy. 101``#"The presentation proceeds automatically." 101``#To move yellow panels use the mouse. 101`#Press ENTER on the KEYBOARD to continue. 102`#In a moment the &Examples& window will appear. 102`You can watch the same presentation again, or 102`#load the next example, or 102`#close the window and solve your own problem.