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Text File | 2000-03-31 | 2.7 KB | 263 lines

>8.Absolute value. (Cases) |x-1|=2x MYSZEK 2xy EXAMPLE e t101 p10 t0 zr t1 p6 t0 v500 zrm k| t2 p2 t0 k|m cxm k-m c1m k|m k=m c2m cxm ke t3 p4 t0 kem p10 oxm shm k? t6 p3 t0 k?m p10 oxm kd t8 p5 t0 t9 p5 t0 kdm cxm k-m c1m k<m c0m kP t10 p4 t0 t12 p7 t0 kPm kY t14 p7 t0 kYm slm t16 p9 t0 kbm k.m ke t18 p3 t0 kem p10 oxm sd t20 p4 t0 sdm shm kxm spm3 kxm shm kxm sem slm kbm sg t21 p4 t0 sgm shm kxm k-m c1m kQ t22 p6 t0 kQm p10 oxm KP Pp t24 p4 t0 sdm shm kxm k-m spm kxm k+m spm kxm shm spm c3m spm k=m kxm k-m spm ssm sem ssm kxm ke t26 p3 t0 kem p10 oxm spm kb t30 p3 t0 kbm2 k/m sgm c1m sdm2 c3m slm2 shm kxm2 sgm shm kxm k/m sgm c1m sdm c3m slm2 sh t32 p4 t0 shm ssm sem ssm kxm sdm ke t38 p4 t0 kem p10 oxm ke t34 p4 t0 kem p10 oxm t36 p3 t0 kPm ze t102 p10 t0 zxm zem e q BLURB 1`We are going to solve the equation: 1`#@|x-1|=2x@. 2`We open the &Equations& window and write the problem. 2`#To write an absolute value sign press the &|& key or 2`#use the on-screen button. 3`As usual after formulating the problem we press &ENTER&. 6`We ask for a hint at the absolute value sign. 8`We consider two cases: 8`#"$x-1<0⁄x-1≥0"$. 9`#We add the condition: 9`#"$x-1<0"$ 9`#to the domain 9`#(Press &Shift&+&D& or the on-screen button). 10`We create the second case. 12`#We click on the button to 12`#open the &Breakdown into cases& panel. 12`The mouse is pointing at the button. 14`We press the &Add a new case& button. 14`The mouse is pointing at the button. 16`#The program copies the contents of the previous case. 16`#We have to modify the domain condition. 18`We press &ENTER& to confirm the breakdown. 20`We solve each case separately. 21`We substitute the value for "$x"$ into the domain condition. 22`#This is a contradiction. 22`#We press the &Contradiction& button. 24`#Using mouse we move to 24`#the &case 1& window and work there. 26`We press &ENTER& to check our solution. 30`We continue transformations. 32`#The domain condition is an identity, 32`#so we can remove it. 34`#This is the final result. 34`#We press "&ENTER&" 34`#&without making any changes& in the expression. ;34`We press the &Answer& button. 36`Now the problem is solved. 38`We press &ENTER& again. 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.