MATH 411 Lecture Notes - Lecture 1: Vicrail N Type Carriage, Abstract Algebra, Nsw Trainlink V Set
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Lets be a set an element x is in s is denoted by xt s we write x45 when x is not in s. 2 13ki ke27 k30 fatbi 1 a beir e i i the set with no elements. Deti i let s t besets wesay s is a subsetof t and write. S et providedevery element of s is an elementof t. 27e q e ire q a ad a b i. E q xe f xc ir l x so e ir. Definition twosets are equal and we write 5 t providedthey havesameelements thisisequivalentto set and tes. Definition s is apropersubsetof t provided set and st t. I 2 3 e i 2 3 4. Intersectioni s nt x c s or x et x i xes and x et theorem i let s t be sets thenset proof i we needtoshowtwoconditional statements. Let us show is i if sn ttiff.