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Union of Convex Sets Proof 
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#1
Sep1709, 12:45 AM

P: 79

1. The problem statement, all variables and given/known data
Show that the union of convex sets does not have to be convex. 2. Relevant equations 3. The attempt at a solution Is it enough to just show a counterexample? Or is that not considered a complete proof? My example is...S = {1} and T = {2}. 


#2
Sep1709, 12:48 AM

Sci Advisor
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Thanks
P: 25,235

Just show your counterexample works. Why is {1}U{2} not convex and why are {1} and {2} convex? Then you are done. Pretty easy, huh?



#3
Sep1709, 12:51 AM

P: 79

Thanks so much!



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