Question: Give examples of (a) two simplices whose intersection is not a simplex; (b) a nonempty convex set that has no extreme points; (c) a bounded

Give examples of

(a) two simplices whose intersection is not a simplex;

(b) a nonempty convex set that has no extreme points;

(c) a bounded convex set that has at least one extreme point but that is not equal to the convex hull of its extreme points.

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