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(Solved) : Give An Example Of An Infinite Family Of Bounded Convex Set Of R2 Such That Each . . .

1. Give an example of an infinite family of bounded convex set of R2 such that each three have a point in common but there is no point in common to all members of the family.

2. let F be a family of parallelogram in R2 with corresponding edges being parallel. If every two members of F have a point in common, prove there is a point in common to all members of F.

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