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>6.Marking regions in a co-ordinate diagram y£2x+1Ÿx£3 MYSZEK 2xy EXAMPLE v500 ;introduction e t100 p30 t0 zo t1 p7 t0 zom t102 wT14 ;p7 t0 t2 p6 t0 ;enter the ineqs cym k.m c2m cxm k+m c1m cam cnm cdm cxm k,m c3m t3 p2 t0 kem ;first ENTER ;first inequality t4 p5 t0 ww ;points on the line t5 p4 t0 t6 p3 t0 c0m sdm c1m spm sgm c1m sdm c3m t12 p4 t0 kem ;marking first point t7 p4 t0 wt m m t8 p3 t0 wx0 wy1 m m ;next point t18 p3 t0 wt m m wx1 wy3 m m ;marking the region t9 p5 t0 wx-2 wy2 t25 p4 t0 m m ;marking the line wx0 wy1 t10 p5 t0 m m t11 p4 t0 wEm ;next inequality ww t19 wT12 t0 c3m sdm c2m spm sgm c3m sdm c6m kem ;the second line-first point wt m m wx3 wy2 m m ;next point wt m m wx3 wy6 m m ;mark the region t14 p4 t0 wx3 wy0 m m wx0 wy0 m m t3 p2 t0 wEm ;mark all t15 p6 t0 wx0 wy5 m m t16 p5 t0 wx0 wy1 m m wx3 wy7 m m wx3 wy8 m m t3 p2 t0 wEm t17 p3 t0 ;the end p3 ;next example ze e t101 p12 t0 zxm zem q BLURB 1`We are going to show the solution of the inequalities: 1`#@y£2x+1Ÿx£3@ 1`on a co-ordinate diagram. We open the &Marking sets& window 2`Following this hint, we write the inequalities in the window. 3`When finished, we press &ENTER& 4`To show the inequalities on the co-ordinate diagram 4`we select one of them by clicking on it... 5`Then we should describe the line which is 5`the boundary of the marked region. 6`We enter the co-ordinates of some points on the line... 7`Now we select each point by clicking 7`in the respective column of the table... 8`and mark the point on the plane. 9`The line appears in the window. 9`Now we should mark the regions 9`that satisfy the inequality. 25`We click a mouse button at any point of the region. 10`Notice that the line also satisfies our condition. 10`Therefore we should also click on the line. 11`When finished, we press &ENTER& 11`and select the second inequality. 12`Having written the co-ordinates of at least two points 12`we press &ENTER&. 13`We have to mark points on the second line... 14`When the line is defined, we should 14`mark the appropriate regions. 15`The next step is to mark all the regions 15`which satisfy both inequalities together. 16`#Notice that we should also mark the line segments 16`#and the point of intersection, 16`#since both of the inequalities are &weak&. 17`Now the solution is complete. 18`In the same way we mark the second point. 19`#We define the second line 19`#in the same way as the first one. 19`#The hints below the title of the 19`#window remind us what to do. 100`#We show how to use 2xy to show sets 100`#on the co-ordinate diagram. 100``#"The presentation proceeds automatically."` 101`#In a moment &Examples& window will appear. 101`You can watch the same presentation again, 101`#or load the next example, 101`#or close the window and solve your own problem. 102`The information about what to do now is 102`displayed below the title of the window