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Set



A set is generally described as a well defined collection of distinct objects.By a well defined collection is meant a collection which is such that,given any object,we may be able to decide whether the object belongs to the collection or not.By distinct objects we mean objects objects no two of which are identical.
Elements or members of set:
The objects in a set are called its members or elements.Capital Letters A,B,C,X,Y,Z etc.,are generally used as names of sets and small letters a,b,c,d,x,y,z etc are used as members of sets.
E.g N = The set of all natural numbers = {1,2,3,...}
      W= The set of whole numbers = {0,1,2,3,...}
Ways of describing a set:There are three different ways of describing a set
1.The Descriptive Method:
A set may be described in words.for example,the set of all vowels of English alphabets.
2.The Tabular Method:
 A set may be described by listing its elements within brackets
{a,e,i,o,u}


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Fraction



Fraction is an expression in which we can write a number in the form P(x)/Q(x) , where Q(x) does not equal to zero.


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Greater and smaller fraction



we can check which fraction is smaller and which is greater.If the fractions has same denominator,then which fraction has greater numerator is the greater fraction.and which fraction has smaller numerator is the smaller fraction.
E.g: 4/5,6/5,3/5
In the above example 6/5 is the greatest fraction.and 3/5 is the smallest fraction.
If the fraction has different value of denominator then 1st we take two fractions,putting them equal and using cross multiplication ,then which side is greater is the greater fraction and which side is smaller is the smaller fraction.


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