@@ -294,22 +294,47 @@ where <m>a</m> and <m>b</m> are real numbers and <m>a \neq 0</m>.
294294 <p >
295295 Draw the solution to the inequality on a number line.
296296 <ol marker =" A." cols =" 1" >
297- <li ><image ><sageplot >
297+ <li ><image >
298+ <sageplot >
298299<xi : include parse =" text" href =" ../../../common/sagemath/library.sage" />
299300TBIL.numberline_from_intervals(["(-\\infty,2]"])
300- </sageplot ></image ></li >
301+ </sageplot >
302+ <description >
303+ <p >A numberline from <m >-9</m > to <m >9</m >.
304+ The left end is shaded until 2, which is marked with a <m >]</m >.
305+ </p >
306+ </description >
307+ </image ></li >
301308 <li ><image ><sageplot >
302309<xi : include parse =" text" href =" ../../../common/sagemath/library.sage" />
303310TBIL.numberline_from_intervals(["(-\\infty,2)"])
304- </sageplot ></image ></li >
311+ </sageplot >
312+ <description >
313+ <p >A numberline from <m >-9</m > to <m >9</m >.
314+ The left end is shaded until 2, which is marked with a <m >)</m >.
315+ </p >
316+ </description >
317+ </image ></li >
305318 <li ><image ><sageplot >
306319<xi : include parse =" text" href =" ../../../common/sagemath/library.sage" />
307320TBIL.numberline_from_intervals(["(2,\\infty)"])
308- </sageplot ></image ></li >
321+ </sageplot >
322+ <description >
323+ <p >A numberline from <m >-9</m > to <m >9</m >.
324+ The right end is shaded from 2 onwards, which is marked with a <m >(</m >.
325+ </p >
326+ </description >
327+ </image ></li >
309328 <li ><image ><sageplot >
310329<xi : include parse =" text" href =" ../../../common/sagemath/library.sage" />
311330TBIL.numberline_from_intervals(["[2,\\infty)"])
312- </sageplot ></image ></li >
331+ </sageplot >
332+ <description >
333+ <p >A numberline from <m >-9</m > to <m >9</m >.
334+ The right end is shaded from 2 onwards, which is marked with a <m >[</m >.
335+ </p >
336+ </description >
337+ </image ></li >
313338 </ol > </p >
314339
315340 </statement >
@@ -400,19 +425,43 @@ TBIL.numberline_from_intervals(["[2,\\infty)"])
400425 <li ><image ><sageplot >
401426<xi : include parse =" text" href =" ../../../common/sagemath/library.sage" />
402427TBIL.numberline_from_intervals(["(-\\infty,-8]"])
403- </sageplot ></image ></li >
428+ </sageplot >
429+ <description >
430+ <p >A numberline from <m >-9</m > to <m >9</m >.
431+ The left end is shaded until <m >-8</m >, which is marked with a <m >]</m >.
432+ </p >
433+ </description >
434+ </image ></li >
404435 <li ><image ><sageplot >
405436<xi : include parse =" text" href =" ../../../common/sagemath/library.sage" />
406437TBIL.numberline_from_intervals(["(-\\infty,-8)"])
407- </sageplot ></image ></li >
438+ </sageplot >
439+ <description >
440+ <p >A numberline from <m >-9</m > to <m >9</m >.
441+ The left end is shaded until <m >-8</m >, which is marked with a <m >)</m >.
442+ </p >
443+ </description >
444+ </image ></li >
408445 <li ><image ><sageplot >
409446<xi : include parse =" text" href =" ../../../common/sagemath/library.sage" />
410447TBIL.numberline_from_intervals(["(-8,\\infty)"])
411- </sageplot ></image ></li >
448+ </sageplot >
449+ <description >
450+ <p >A numberline from <m >-9</m > to <m >9</m >.
451+ The right end is shaded from <m >-8</m > onwards, which is marked with a <m >(</m >.
452+ </p >
453+ </description >
454+ </image ></li >
412455 <li ><image ><sageplot >
413456<xi : include parse =" text" href =" ../../../common/sagemath/library.sage" />
414457TBIL.numberline_from_intervals(["[-8,\\infty)"])
415- </sageplot ></image ></li >
458+ </sageplot >
459+ <description >
460+ <p >A numberline from <m >-9</m > to <m >9</m >.
461+ The right end is shaded from <m >-8</m > onwards, which is marked with a <m >[</m >.
462+ </p >
463+ </description >
464+ </image ></li >
416465</ol > </p >
417466
418467</statement >
@@ -447,7 +496,13 @@ TBIL.numberline_from_intervals(["[-8,\\infty)"])
447496 <image ><sageplot >
448497<xi : include parse =" text" href =" ../../../common/sagemath/library.sage" />
449498TBIL.numberline_from_intervals(["[-2,\\infty)"])
450- </sageplot ></image >
499+ </sageplot >
500+ <description >
501+ <p >A numberline from <m >-9</m > to <m >9</m >.
502+ The right end is shaded from <m >-2</m > onwards, which is marked with a <m >[</m >.
503+ </p >
504+ </description >
505+ </image >
451506 </p >
452507 </answer >
453508 </task >
@@ -463,7 +518,13 @@ TBIL.numberline_from_intervals(["[-2,\\infty)"])
463518 <image ><sageplot >
464519<xi : include parse =" text" href =" ../../../common/sagemath/library.sage" />
465520TBIL.numberline_from_intervals(["(-13,\\infty)"])
466- </sageplot ></image >
521+ </sageplot >
522+ <description >
523+ <p >A numberline from <m >-14</m > to <m >14</m >.
524+ The right end is shaded from <m >-13</m > onwards, which is marked with a <m >(</m >.
525+ </p >
526+ </description >
527+ </image >
467528 </p >
468529 </answer >
469530 </task >
@@ -479,7 +540,13 @@ TBIL.numberline_from_intervals(["(-13,\\infty)"])
479540 <image ><sageplot >
480541<xi : include parse =" text" href =" ../../../common/sagemath/library.sage" />
481542TBIL.numberline_from_intervals(["(-\\infty, 3/7]"])
482- </sageplot ></image >
543+ </sageplot >
544+ <description >
545+ <p >A numberline from <m >-9</m > to <m >9</m >.
546+ The left end is shaded until <m >\frac{3}{7}</m >, which is marked with a <m >]</m >.
547+ </p >
548+ </description >
549+ </image >
483550 </p >
484551 </answer >
485552</task >
@@ -574,19 +641,47 @@ TBIL.numberline_from_intervals(["(-\\infty, 3/7]"])
574641 <li ><image ><sageplot >
575642<xi : include parse =" text" href =" ../../../common/sagemath/library.sage" />
576643TBIL.numberline_from_intervals(["[0,11/2)"])
577- </sageplot ></image ></li >
644+ </sageplot >
645+ <description >
646+ <p >A numberline from <m >-9</m > to <m >9</m >.
647+ The line is shaded between <m >0</m > and <m >\frac{11}{2}</m >.
648+ <m >0</m > is marked with a <m >[</m > and <m >\frac{11}{2}</m > is marked with a <m >)</m >.
649+ </p >
650+ </description >
651+ </image ></li >
578652 <li ><image ><sageplot >
579653<xi : include parse =" text" href =" ../../../common/sagemath/library.sage" />
580654TBIL.numberline_from_intervals(["[0,5/2)"])
581- </sageplot ></image ></li >
655+ </sageplot >
656+ <description >
657+ <p >A numberline from <m >-9</m > to <m >9</m >.
658+ The line is shaded between <m >0</m > and <m >\frac{5}{2}</m >.
659+ <m >0</m > is marked with a <m >[</m > and <m >\frac{5}{2}</m > is marked with a <m >)</m >.
660+ </p >
661+ </description >
662+ </image ></li >
582663 <li ><image ><sageplot >
583664<xi : include parse =" text" href =" ../../../common/sagemath/library.sage" />
584665TBIL.numberline_from_intervals(["(5/2,3]"])
585- </sageplot ></image ></li >
666+ </sageplot >
667+ <description >
668+ <p >A numberline from <m >-9</m > to <m >9</m >.
669+ The line is shaded between <m >\frac{5}{2}</m > and <m >3</m >.
670+ <m >\frac{5}{2}</m > is marked with a <m >(</m > and <m >3</m > is marked with a <m >]</m >.
671+ </p >
672+ </description >
673+ </image ></li >
586674 <li ><image ><sageplot >
587675<xi : include parse =" text" href =" ../../../common/sagemath/library.sage" />
588676TBIL.numberline_from_intervals(["[3,11/2)"])
589- </sageplot ></image ></li >
677+ </sageplot >
678+ <description >
679+ <p >A numberline from <m >-9</m > to <m >9</m >.
680+ The line is shaded between <m >3</m > and <m >\frac{11}{2}</m >.
681+ <m >3</m > is marked with a <m >[</m > and <m >\frac{11}{2}</m > is marked with a <m >)</m >.
682+ </p >
683+ </description >
684+ </image ></li >
590685</ol > </p >
591686
592687</statement >
@@ -623,7 +718,14 @@ TBIL.numberline_from_intervals(["[3,11/2)"])
623718 <image ><sageplot >
624719<xi : include parse =" text" href =" ../../../common/sagemath/library.sage" />
625720TBIL.numberline_from_intervals(["[-4,-3)"])
626- </sageplot ></image >
721+ </sageplot >
722+ <description >
723+ <p >A numberline from <m >-9</m > to <m >9</m >.
724+ The line is shaded between <m >-4</m > and <m >-3</m >.
725+ <m >-4</m > is marked with a <m >[</m > and <m >-3</m > is marked with a <m >)</m >.
726+ </p >
727+ </description >
728+ </image >
627729 </p >
628730 </answer >
629731 </task >
@@ -639,7 +741,14 @@ TBIL.numberline_from_intervals(["[-4,-3)"])
639741 <image ><sageplot >
640742<xi : include parse =" text" href =" ../../../common/sagemath/library.sage" />
641743TBIL.numberline_from_intervals(["[-12,4)"])
642- </sageplot ></image >
744+ </sageplot >
745+ <description >
746+ <p >A numberline from <m >-14</m > to <m >14</m >.
747+ The line is shaded between <m >-12</m > and <m >4</m >.
748+ <m >-12</m > is marked with a <m >[</m > and <m >4</m > is marked with a <m >)</m >.
749+ </p >
750+ </description >
751+ </image >
643752 </p >
644753 </answer >
645754 </task >
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