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31
May
Universal  Set 

☼ Universal  Set  :   In the discussion about sets, all sets are assumed to be the subsets of  a definite set. This definite set is called the universal set. Universal set contains the sets under discussion as subsets. The symbol U i…

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31
May
Symmetric  Difference  Of  Sets

☼ Symmetric  Difference  Of  Sets  :   The symmetric difference of  two sets A and B is defined by :

A \triangle B   =   ( A

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31
May
Difference of  Sets

☼ Difference of  Sets  :   For any two sets A and B, we define :

A – B  =  { x : x \in A  and  x

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31
May
Intersection of Sets

☼ Intersection of  Sets  :   The intersection of  two sets A and B, denoted by  A  B is the set of  all those elements which are common to both A and B.

Thus,  A \cap

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Posted in: Intersection of Sets,
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31
May
Comparable Sets

☼ Comparable Sets  :   Two sets A and B are said to be comparable if either  A \subseteq B  or  B

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31
May
Proper Subset

☼ Proper Subset  :   If  A \subseteq   B  and  A  \neq B, then A is ca…

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31
May
Super Set

☼ Super Set  :   If  A  B, we say that B is a super set of  A and we write, B  A.

There are infinite supersets of  any finite set but there are finite subsets of  any finite set….

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31
May
Subsets

☼ Subsets  :   Let A and B be two sets given in such a way that every element of  A is in B, then we say that A is a subset of  B and we write, A \subseteq

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Posted in: Subsets,
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31
May
Equivalent  Sets

☼ Equivalent  Sets  :   Two sets  A  and  B  are said to be equivalent if  n (A)  =  n (B).

■ Remark  :   Equivalent sets are not always equal but equal sets are always equivalent. Thus,  { 10, 20…

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31
May
Equal  Sets

☼ Equal  Sets  :   Two sets  A  and  B  are said to be equal, if each and every element of  A is in B and each and every element of  B is in A.

In this case we can write,  A  =  B….

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