Exercise: Suppose we are dealing with sets which are subsets of R, the set of all real numbers. Suppose we are given the following hypotheses: (i) A, B,C are given subsets of R. (ii) (iii) VER, if x E B, then x - 1 EC. (a) If possible, prove that A C C, given the above hypotheses. (b) If possible, prove that C C A, given the above hypotheses. NOTE: You may use basic properties of the real numbers whenever necessary