Brandon was born in Searcy, Arkansas. His family moved to the St. Louis area a short time later but moved to Colorado around age seven after his dad left the family. His mom remarried six years later and Brandon remained in Colorado until he moved to Springfield to attend Evangel.
Subsets of a given Set. If a set contains ânâ elements, then the number of subsets of the set is 2\(^{2}\). If a set contains ânâ elements, then the number of proper subsets of the set is 2\(^{n}\) - 1. In general, number of proper subsets of a given set = 2\(^{m}\) - 1, where m is the number of elements. 1.
For subsets A 1 ;:::;A n in a metric space X, the closure of A 1 [[ A n is equalto [A i; that is, the formation of a nite union commutes with the formation of closure.Proof. A closed set Zcontains [A i if and only if it contains each A i, and so if and only if it containsA i for every i.n fact, weâll nd a rather \small open subset UR withclosure equal to R (whose interior is R, and hence larger than U).Let SQ denote the set of elements of the form q= a=10 n with a2Z and n0 (i.e., nitedecimal expansions).