# SETS AND SET NOTATION - Department of Mathematics, Texas A&M

11 Pages · 2004 · 103 KB · English

We ﬁnd 8! (on the calculator, enter 8, then MATH button. Go to the PRB menu. Enter 4 or scroll down to the ! sign. Then enter again for the answer)

## SETS AND SET NOTATION - Department of Mathematics, Texas A&M free download

SETS AND SET NOTATION A SET is a collection of items The items are called the MEMBERS or ELEMENTS of the set A set is given a name, usually an uppercase letter We can use SET BUILDER notation to describe a set in terms of its properties, A = fx jx is a female in math 166 this semester g: A UNIVERSAL SET is a set from which all the member of the sets in a problem can be drawn U =fx jx is a student in math 166 this semester g We use VENN DIAGRAMS to show sets The rectangle is the universal set and the circles are sets in the universal set Aset Cis a subset of Aif every element in Cis also in A De\fne C =fx jx is a female GEST ma jor in math 166 this semester g, C A U A C IfB =fx jx is a GEST ma jor in Math 166 this semester g,then Bi s not a subset of A A set with no members is the EMPTY SET The notation for the empty set is ;or fgDonot confuse the empty set with the real number 0, or the set with the real number zero as an element, f 0g The COMPLEMENT of set Aare those elements of Uthat are NOT in A We write this as A c= fx jx 2 U and x = 2Ag Shade the region A c A A C 7 The INTERSECTION of setsAandBare those elements that are inAAND inB In set notation we sayA\B In set builder notation we say fxjx2A and x2Bg Shade the regionA\B A B In our example,A\Bwould be female GEST ma jors in math 166 this semester The UNION of setsAandBare those elements that are inAOR inB In set notation we say A[B In set builder notation fxjx2A and x2Bg Shade the regionA[B: AB In our example,A[Bwould be the students who are in math 166 semester who are GEST ma jors or are female You must be able to nd and express

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