I have a Math problem where I have some true statements, and I want to know if there is a feasible solution to an equation. I would like to know how to do that in either Matlab or Mathematica.
The true statements are:
0 < a, b, c, d, e
a, b, c integers
a < b < c
d*b + e*b > e * c
I want to know that, if given those conditions, it is possible to find values for a, b, c, d, e, such that the following inequality holds:
d*a > d*b +e*b - e*c
If you know a way to tackle this analytically, it would also be valuable.