Question: . (i) Let X = R2, the two-dimensional plane. Let Rm) := {(331,332) : :31 2 111,222 > . Let X = R, the real

. (i) Let X = R2, the two-dimensional plane. Let Rm\") := {(331,332) : :31 2 111,222 > . Let X = R, the real line. Let \"H = {(e,+oo) : e is a real number}. That is, \"H! is the set of semi-innite intervals which are unbounded on the right. Determine VC-dime). . Let X = R, the real line. Let 'H = {(n1,n2) : a1 and n2 are real numbers}. That is, 'H is the set of bounded intervals. Determine VC-dimU-i). n2} denote the two-dimensional semi-innite rectangle with southwest" corner at the point (n1,n2). Let \"H consist of all such semi-innite rectangles, i.e., \"H. = {Emmi} in and :12 are real numbers}. Determine VC-dim(?-). it (ii) Generalize the above result to the higher dimensional case where X = R\
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