Let S and Tare sets defined as follows: S = {xEZ 5sxs25 and x=2 mod 4} T = {xEZ 1 - 25xs15 and x=1 mod 3) Find following cardinalities or truth values: a) SI = 1T1 = b) ST|= c) ST|= d) |P(SNT) = e) {6, 14.18) ES TRUE FALSE f) (10,10)EST TRUE FALSE g) {10, 1035S? TRUE FALSE h) Let A = {1, 2, 3, 4, ...,100) and M = {(x,y) | XEA, YEA and x +y80). Find the cardinality of the set M. Provide all details of your solution