solve set of inequalities and plot the solution

2025 5 15
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I want to solve the following inequalities and then plot the solution:
syms alpha beta
eq_E_Bar=0.0664057051742095*alpha+beta*(-0.0900076050430003)<=0;
eq_I_Bar=-0.147476397055133*alpha+beta*(-0.160063987615969)<=0;
eq_I_CD=-0.122381054306963*alpha+beta*(0.125233998946155)>=0;
eq_CH=0.0733606912576878*alpha+beta*(0.0218230571691888)>=0;
eq_E_CD=-0.00347678534715134*alpha+beta*(0.0182604037132820)>=0;
eq_CI=-0.0559753491327545*alpha+beta*(0.0352263939031544)>=0;
feasible_sol=solve([eq_E_Bar,eq_I_Bar,eq_I_CD,eq_CH,eq_E_CD,eq_CI],[alpha beta],ReturnConditions=true)
feasible_sol = struct with fields:
alpha: (2256015163952083*x1)/2204621082296188 + x beta: x1 parameters: [x x1] conditions: 10549189801660689702269137781572*x <= 3503468021860192787493706908071*x1 & 0 <= 5827028370741121936647379822184*x + 7696269995943263088326695380347*x1 & 177844533…
cond=feasible_sol.conditions
cond = 
Is my code correct?

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Torsten
Torsten 2025-5-15
编辑：Torsten 2025-5-15

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A = [-0.0664057051742095,0.0900076050430003;...
0.147476397055133,0.160063987615969;...
-0.122381054306963,0.125233998946155;...
0.0733606912576878,0.0218230571691888;...
-0.00347678534715134,0.0182604037132820;...
-0.0559753491327545,0.0352263939031544];
b = [0;0;0;0;0;0];
lb = [-100;-100];
ub = [100; 100];
plotregion(A,b,lb,ub);
Download "plotregion" from
https://uk.mathworks.com/matlabcentral/fileexchange/9261-plot-2d-3d-region
It's not clear what you mean by "solve the inequalities". The plot suggests that two of the inequalities are the relevant ones. So the "solution" is given by the intersection of the regions defined by two out of the six inequalities you posted.

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