,.,How should i do this??

Show that the intersection of two convex sets is convex but the union of convex sets does not have to be convex,.

thnx

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- June 23rd 2011, 03:58 PMaldrincabreraConvex Sets
,.,How should i do this??

Show that the intersection of two convex sets is convex but the union of convex sets does not have to be convex,.

thnx - June 23rd 2011, 04:39 PMTKHunnyRe: Convex Sets
The last part is easy by counter example.

Take x > 0 and y > 0 and

Set 1 {(x,y)|(y/2) + (x/1) <= 1}

Set 2 {(x,y)|(y/1) + (x/2) <= 1} - June 23rd 2011, 04:56 PMAckbeetRe: Convex Sets
For the first part, just look at the definition of convex set, and the definition of intersection. What can you do with that?

- June 23rd 2011, 05:14 PMPlatoRe: Convex Sets