W Power SetThe set of all subsets of a set A is called the power set denoted by /4)umple,Erlend10.8.210.It A=(2,3), then find the power set ofemThe subsets of A are 0,123,12.3).The power set ofP(A) = 10.121.31.12.311(H) If A = 10.101], then the power set of A is 0.10, 101.10.10Important property.We already noted that n(A) = n(PA). But how big is P(A) ? Think about this a bit, ander sul whether you come to the following conclusion:(i) If n(A) = m, then n[P(A)] = 20(i) The number of proper subsets of a set A is n[PAI-1 -230Example 1.9Find the number of subsets and the number of proper subsets of a seb,x, y, z).ution Given X=fa, b, c, x, y, z). Then, n(X) -6The number of subsets = n P(x)] = 20Every set has onlyThe number of proper subsets = n(PX)]-I = 29-1one improper subseVerify this fact usingExercise 1.2Find the cardinal number of the following sets.v = * = 3n+2, ne Wandx< 15)=: . and 2