Exhibit a counterexample to each of the following statements.
(a) [BB] x2 = 4 → x = 2.
(b) a and b integers and ab = 1 → a = b = 1.
(c) [BB] (x − 3)2 = x − 3→x = 3.
(d) If the average of four different integers is 10, at least one of the integers must be greater than 12.
(e) The product of two irrational numbers is irrational.
(f) x − y = y −x for all real numbers x and y.
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