inequalities in MAXIMA



To solve a one-variable rational expression inequality, use solve_rat_ineq:

 (%i8)  load(solve_rat_ineq)$

 (%i9) solve_rat_ineq((x-1)^2*(x+1)^2>0);
 (%o9) [[x < -1],[x > -1,x < 1],[x > 1]]

To solve a system of linear inequalities, use fourier_elim:

 (%i10)  load(fourier_elim)$

 (%i11) fourier_elim([x+y/4 < 7, x- y > 8], [x,y]);
 (%o11) [y+8 < x,x < 7-y/4,y < -4/5]

To show that the solution set to an inequality is all real numbers or empty, try using "is":

 (%i12) is(x^2 < x^2 + 1);
 (%o12) true

 (%i14) is(x^2 + 1 < x^2);
 (%o14) false

You didn't say anything about the functions itran or iper, so I'm not sure which approach 
will be best for your problem, but maybe this will get you started.  I'm not sure, but
Maxmia 5.21 might have a bug prevents solve_rat_ineq from working correctly. Is so,
we apologize.

Let us know if you have more questions. And welcome to Maxima.

--Barton

-----maxima-bounces at math.utexas.edu wrote: -----

I would Like to know how to slve inequalities in maxima,
like i Show

eq:''(100*itran(t)<iper(t))

Thanks and Regards
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