This problem appeared while working on a neural networks practical.(adsbygoogle = window.adsbygoogle || []).push({});

There are given 12 inequalities (x_0, x_1, x_2, x_3, x_4 unknown) of the form:

[tex]x_0 + ax_1 + bx_2 + cx_3 + dx_4 >= 0[/tex]

or,

[tex]x_0 + ax_1 + bx_2 + cx_3 + dx_4 < 0[/tex],

and that there exists a set of solutions that satisfy all 12 inequalities. I have to find one of those solutions but I don't know where I can start to attack this problem? I'm unable to apply trial and error, due to the high number of unknowns. I'm not finding a rigorous methodology either. Does anyone have any suggestion? Does any software package exist that aids me to do this?

Thanks a lot!

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# Overwhelming problem

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