Items tagged with inequalities

I want  to find the parametrs that verify the below inequalities at the same time:

beta*(v+u)>phi*(alpha+lamda+u+delta)

phi>beta

beta> (alpha+lamda+u+delta)

phi* (alpha+lamda+u+delta)>beta*(u+v+alpha),

question : find the values of u,v,delta,lamda,phi,beta,alpha such as all these parameters are in the intervall ]0,1]

can anyone help me ?

 

Hi dears,

How can I draw the solution of the following 3d linear inequalities in Maple?

A:={-x-y+3*z >= 0, -x+2*y >= 0, 3*x-2*y-z >= 0, x > 0, y > 0, z > 0}

I am looking forward to hearing from you

Sincerely yours.

 



 
No need to hurry, esthetics is not a vital issue ... but thanks in advance.

PS : sorry for the syntax errors "waves" generated in the original Word document

I have the system:

 

Update:

{-1/2 < 2*f*(1/53)+7*g*(1/53), 3/106 < 7*f*(1/53)-2*g*(1/53), 2*f*(1/53)+7*g*(1/53) < -37/106, 7*f*(1/53)-2*g*(1/53) < 1/2}

 

which I wish to solve over integers but isolve() gives me "Warning, solutions may have been lost and no solutions". The solutions exist and are {[f =0, g = -3] || [f = 1, g = -4], [f = 1, g = -3] || [f = 2, g = -4]}, but I cannot obtain them with Maple. Could you tell me what is wrong and how I should treat this kind of problems in the future, please.

Mathematica 10.0

Reduce[{-1/2 < 2*f*(1/53) + 7*g*(1/53), 3/106 < 7*f*(1/53) - 2*g*(1/53), 2*f*(1/53) + 7*g*(1/53) < -37/106, 7*f*(1/53) - 2*g*(1/53) < 1/2}, {f, g}, Integers]

(f == 0 && g == -3) || (f == 1 && g == -4) || (f == 1 &&
   g == -3) || (f == 2 && g == -4)

 

Maple

isolve({-1/2 < 2*f*(1/53)+7*g*(1/53), 3/106 < 7*f*(1/53)-2*g*(1/53), 2*f*(1/53)+7*g*(1/53) < -37/106, 7*f*(1/53)-2*g*(1/53) < 1/2});
Warning, solutions may have been lost

 

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