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I'm looking for a software or an online resources that allows me to plot complex number inequalities in the Argand diagram similar to this one.

Please, any help is appreciated.

Thanks, Arif

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    See also http://mathematica.stackexchange.com/questions/3458/plotting-complex-quantity-functions. – 2017-01-04

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If you translate the inequalities to what they say about $x$ and $y$, you can use Wolfram Alpha. I don't know if you can use Wolfram Alpha directly: if you give it an inequality involving complex numbers, it just says "Inequalities are not well-defined in the complex plane".

In Maple you could use something like this:

 ineqs:= evalc(subs(z=x+I*y, {abs(z+1-3*I) <= 1, Im(z) >= 3}));
 plots[inequal](ineqs, x=-4..4,y=-4..4);

enter image description here

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    thanks, I'm looking for a graphing package that plot complex number inequalities and gives result in the form similar to my diagram [here](http://math.stackexchange.com/questions/2065679/greatest-and-least-values-of-arg-z-for-points-lying-in-a-region), that helps find the least and greatest value of $arg(z)$ and other similar questions. – 2017-01-04