TOt. Susan Gass betermine whether each of these pairs of sets are equal: a) 1.2.2,56 67.8), (1.2.5,6.78) b) (2.14,27,30),(2.3,5,68) e) (o,,0 2. Determine the cardinality of the following sets a) o, 1,2... 99 b) la fa c.(lal th fab,e 3. Find the power set of each of the set (a b e), where a b and care dstinct 4 Let A - (a, b) and B (1.2) a) Find A x B (ie, the Cartesian Product of the sets A and B. b) How many different elements does A x B have? 5. Let A- (a, b, c) and B-(a b,c,d, f,h, m). Perform the following operations on sets A and B and draw their associated Venn diagrams a)AUB bAnB A-B (where, U - (a b....) 6. Let A B, C be sets. Using Set logical equivalences, prove the distribution law for U over n, which states: A u (BnC) (AuB)n(AUC). D be defined by the following 7. Let the functions fA B.g: B-Ch: C figure. Determine if each function is b) one-to-one cone-to-one correspondence a) onto dr Find (g of),wheref(x) = x + 3 and g (x)-28-1 Find a formula for the nth term of the sequence ge nerated by the following recurrence relation: 5,9, 13, 17,2i