Consider the following three sets A = {2, 4, 6, 8} B = {1, 3, 5, 7} C = {1, 2, 7, 8} Consider the following four statements about a set S.

(p1) xS {x is even}

(p2) xS {x is even}

(p3) xS {x is odd}

(p4) xS {x is odd}

(a) For each of the three sets A, B, and C, find which of the four statements is true?

(b) Is there a finite set of integers for which at least three of the statements are true? Justify your answer.