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- Let P(A) be the power set of a non-empty set A A relation R on P(A) is defined as follows: R= {(X,Y): X CY} Example (1) reflexivity, (ii)symmetry and (i) transitivity of R on P(A).Theorem Let f be a continuous function on an open subset U of a Banach space X into a Banach space Y. Let a and b by any distinct points in U such that the segment [a, b] is contained in U and f be differentiable at each point of [a, b]. Let g be any continuous linear function on X into Y. Then || ƒ (b)-f(a) - g (b-a) || ≤c|| b-all, where c is a real number such that || Df (x) - g || ≤c, for all x in [a, b].Could you explain how to show 7.2 in detail?