CODEWITHSUNDEEP
matlabwolfram-mathematica
Jadiel de Armas
Jadiel de Armas

Reputation: 8802

Feasible solutions to inequations

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

Upvotes: 2

Views: 82

Answers (1)

pragmatist1
pragmatist1

Reputation: 919

I think the Reduce function in Mathematica is the appropriate tool for this. 

Reduce[d*a > d*b + e*b  + e*c && a > 0 && b > 0 && c  > 0 && d > 0 && e > 0 && d*b + e*b > e*c  && a < b < c, {a, b, c, d, e}, Integers]

this yields False meaning it cannot be satisfied as formulated. However, relaxing the a < b < c constraint does yield a (set of) solution.

enter image description here

Upvotes: 6

Related Questions