Solution of linear inequalityI have the following system of linear inequality on x 1 ,...

Cooper Doyle

Cooper Doyle

Answered

2022-07-09

Solution of linear inequality
I have the following system of linear inequality on x 1 , x 2 , , x n , x i R i x i 2 x j < b i , j The right hand side of the inequality ( b R + ) is fixed (and given) for all inequalities.From simulation I can see that the only solution to this system of equation is when all x i 's are equal. Is there a formal proof to show this ?

Answer & Explanation

Elias Flores

Elias Flores

Expert

2022-07-10Added 24 answers

You need to have some restriction on b.
Otherwise, for any set of x i , choose b > 3 max ( | x i | ). Then all the inequalities hold.

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