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Set
Exercise 2 - Example(Page 1) 		Home
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Symbols
=







Equal to

Not equal to

Is an element of

Is not an element of

{ } or

n(A)





 Null or empty set

Cardinal number of set A (Number of element in set A)

Union

Intersection



Union of sets:- The Union of two sets such as set A and set B is a new set C, which includes all the elements that are in either A or B or in both and no other elements. Elements in both sets are listed only once in the union of the sets.

Example: 1
A = {1,3,5,7,9}, B = {2,4,6,8,10}

A Union B or A B = {1,2,3,4,5,6,7,8,9,10}

Example: 2
A = {apple, lemon, pear,grape}, B = {grapefruit,lime,orange,apple,grape}

A Union B or A B = {apple,lemon,pear,grape,grapefruit,lime,orange}

Intersection of sets:- The Intersection of two sets such as set A and set B is a new set C, which have only the elements that are in both sets.

Example: 3
A = {1,2,4,5,6,7,8,9}, B = {1,2,3,4,6,7,10}

A intersect B or A B = {1,2,4,6,7}

Example: 4
A = {apple, lemon, pear,grape}, B = {grapefruit,lime,orange,apple,grape}

A intersect B or A B = {apple,grape}

Disjoint sets:- Two sets are called disjoint sets if their intersection is an empty set.

Example: 5
A = {1,3,5,7,9}, B = {2,4,6,8,10}

A Intersect B or A B = { } or

Overlapping or Intersecting sets:- Two sets are called Overlapping or Intersecting sets if their intersection is not an empty set.

Example: 4
A = {4,8,12,16,20,24,28,32,36,40}, B = {6,12,18,24,30,36,42}

A intersect B or A B = {12,20,24,36}



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