formula

01
Jun
Venn Diagrams

Venn Diagrams : We represent sets by closed bounded figures, known as Venn diagrams. The universal set is denoted by a rectangular region and each subset of  it is shown by a closed bounded figure within this rectangle.

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31
May
Complement of  a Set

Complement of  a Set  :   Let  A  be a subset of  the universal set  U, then the complement of  A, denoted by  Aٰ  or  A is defined by :

Aٰ  =  A =  { x : x  U,  x  A }.

Clearly, x  A    x  A.

 e.g.

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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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