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3. Consider the three sets A- (1,3,5,7,9,11), B(1,2,3,4,5,6), and C (7,8,9, 10, 11, 12). (a) (2 points) List the elements in the set AB (b) (2 points) List the elements in the set BC (e) (2 points) List the elements in the set (ANC)UB (d) (5 points) Give the definition of a bijection and write down a bijection from A to B. If you'd like, you can write it by listing where each element in A goes (c.g. f(1) = 1,...)
(b) (2 points) List the elements in the set BnC (c) (2 points) List the elements in the set (ANC) UB (d) (5 points) Give the definition of a bijection and write down a bijection from A to B. If you'd like, you can write it by listing where each element in A goes (e.g. f(1) = 1,...) (c) (1 points) Does there exist a one-to-one function from B to C that is not onto? If so, give an example, if not, briefly explain why not.