4. Let S and T are sets defined as follows: S = {x Z5 SX S25 and x = 2 mod 4} T = {x 21-25 515 and x = 1 mod 3} Find following cardinalities or truth values: a) 1s = |T= b) set= c) IS XT = d) |P(SNT) = e) {6,14,18} ES TRUE FALSE f) (10,10) E SXT TRUE FALSE 9) {10,10} SS2 TRUE FALSE h) Let A = {1, 2, 3, 4, ...,100} and M = {(x,y)| x E A, Y E A and x + y s 80}. Find the cardinality of the set M. Provide all details of your solution