Is linear constraint a constraint in form of linear equation? I used equation f_i(\alpha x

Romana Newton

Romana Newton

Answered question

2022-02-18

Is linear constraint a constraint in form of linear equation?
I used equation fi(αx+βy)=αfi(x)+βfi(y) to test linearity of constraint. For fi(x)=x+5 test failed. For fi(x)=2x test passed.
What I don't get is x+5 is linear equation then, why it failed the test.

Answer & Explanation

Jett Brooks

Jett Brooks

Beginner2022-02-19Added 7 answers

A "linear constraint" is occasionally a linear equation but more ususually a linear inequality e.g.
2x+3y47
or
7x+13y8z677.

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