NOTION OF A SETLearning objectives:Upon completion you shoul be able to:!ive e"amples o# a set$Name the elements o# a set$%escribe a set using the roster an rule methos$!ive e"amples o# empty an universal sets&NOTION OF A SETA SET is a well-defned collection of objects, real or imagined. NOTION OF A SETE"amples:The collection o# all ne' #reshman stuentsThe collection o# all integersThe collection o# all species o# inosaur living as o# this ayRemark.NOTION OF A SETWe denote a set by a capital letter. Try tis!(hich o# the #ollo'ing is a set)The collection o#:*& all the cities in the +hilippines,& all best computer games-& all beauti#ul an hansome .AT/ **0U1 stuentsNOTION OF A SETTry tis!(hich o# the #ollo'ing is a set)The collection o#:2& all large positive numbers3& all letters in the Filipino alphabet4& all negative numbers5& all three0legge .AT/ **0 U1 stuentsNOTION OF A SET6E.E.7E6:A collection is 'ell0e8ne i# it is possible to etermine 'hether a given object belongs to the set or not&NOTION OF A SETLet Pbe the set o# all primary colors& (hich o# the #ollo'ing are in P )NOTION OF A SET6e

7ro'n9ello'7lue:arnation +in;FuschiaOrangeThe objects that ma;e upa set are calle elements&NOTION OF A SETThus< ====< ====Another 'ay o# escribing sets is by the rule metho&In this metho< a variable is use to represent the elements< this is #ollo'e by a bar< an then a rule escribing the property common to all the elements& O# course< these are enclose in a pair o# braces&NOTION OF A SETExample. The set o# all stuents in U+L7< A9 ,?*2 0 ,?*3< enote by !< can be 'ritten using the rule metho in the #ollo'ing 'ay:Name some elements o# !&NOTION OF A SET{ } 2015 - 2014 AY in UPLB, studenta is | x x G =NOTION OF A SETWen is te r"le metod more ad#antageo"s to "se tan te roster metod$ Wen is te roster metod more "sef"l tan te r"le metod$Special setsNOTION OF A SETE"amples are: *& The set o# sna;es that have hans,& The set o# all 8sh that can say @/elloA { }NOTION OF A SETIs this an empty set)Ienti#y some more empty sets&Try this>{ }Anoter special set is te "ni#ersal set denoted by U.Te "ni#ersal set is te set of all possible elements in a gi#en sit"ation. %or e&ample, if we consider 'red, orange, bl"e(Ten a possible "ni#ersal set is te set of all colors of te rainbow.T"s U is te set of all colors of te rainbow.NOTION OF A SET)i#e a "ni#ersal set from wic te members of te following sets co"ld be cosen*+. ' ,, -, +., +/(.. '0S 1at, 0S Applied 1at, 0S Applied 2ysics(3. 'A0, 4R, A1, E4, 5S, )S(NOTION OF A SETTry tis!NATU6AL NU.7E6SN{ }1, 2, ,!!!E1EN NU.7E6SE{ } N k k | 2O%% NU.7E6SO{ } N k k | 1 2+6I.E NU.7E6S:O.+OSITE NU.7E6SPC(/OLE NU.7E6S({ }0,1, 2, ,!!!INTE!E6SB{ }!!!, 1, 0,1,!!! 6n tis section, we learned te following*(hen a set is 'ell0e8ne or notSets are enote by capital lettersObjects belonging to a set are calle elementsI# a belongs to set 7 'e 'rite a 7&Other'ise< 'e 'rite a 7&Sets can either be escribe by the rule or the roster methosThere are t'o special sets< namely< empty an universal sets&NOTION OF A SET