Hi there How would I go about proving that "S= (x1,x2): x1 + x2 ≤ 1 , x1 ≥ 0)" is a convex set? Thanks *Sorry for the title typo
Last edited by Lior539; May 20th 2010 at 05:44 AM. Reason: Typo
Follow Math Help Forum on Facebook and Google+
Originally Posted by Lior539 Hi there How would I go about proving that "S= (x1,x2): x1 + x2 ≤ 1 , x1 ≥ 0)" is a convex set? Thanks *Sorry for the title typo Take any two points ; you must prove that : , and now you have the simple task yo show that: 1) ; 2) ... Tonio
Thanks for your help Tonio, it really cleared up some things in my mind. How would one go about proving (1) and (2) though? Thanks
View Tag Cloud