4. Let S and T are sets defined as follows: S = {x Z | 5 5x525 and x = 2 mod 4} T = {x Z |- 25 x S 15 and x = 1 mod 3} Find following cardinalities or truth values: a) S = |T|= b) IS - T = c) |s2| = d) |P(SNT) = e) {6,10} ES TRUE FALSE f) (10,10) ESXT TRUE FALSE 9) {10,10} SS TRUE FALSE h) Let A = {1, 2, 3, 4, ...,150} and M = {(x,y) x E A,E A and x + y S 100}. Find the cardinality of the set M. Provide all details of your solution