. Sets (8 points + 2 bonus points) (a) (2 points) What is the cardinality |S| of S = {x |cos(mx) = 0}, for 0 6 x 6 2 and m > 1. (b) (2 points) If |ABC| = 3 what can we say about |A|, |B|, and |C|? (c) (2 points) What is the cardinality of the set AAA | {z } n times . Why? (d) (2 points) What is the cardinality of the set AAA | {z } n times . Why? (e) (2 bonus points) What is the cardinality |S| of the set below and why? S = {x | x2 + a = 0}

1. Sets (8 points 2 bonus points) (a) (2 points) What is the cardinality Isl of S = {x |cos(mx) = 0), for 0