Problem 2 [20 points]. 110,111, ...,Am, m = 211121, are nonempty convex subsets of Rm, and A\" is a triangle (convex hull of 3 ainely independent vectors). Mark by T those of the statements below which are always (that is, independently of what are An, ..., Am satisfying the above assumptions) true: 0 [8 points] If every 3 among the sets 1'10, ..., Am have a point in common, all m. + 1 sets have a point in connnon. o [8 points] If every 4 among the sets A\