set operatoion

• Union of set
• if all elements of A & B are put to gather or form a one set the set form is called union set
• eg
• A={1,2,3}
• B={4,5,6}
• AUB={1,2,3,4,5,6} [A union B]
• inter section of set
• in all elements of A&B which are common to A&B is called intersection
• eg

• A={1,2,3,4}
• B={1,4,5,6}
• A∩B={1,4} A intersection B

• different of set
• the different is" if "A&B"wish is belongs to A and which is not belongs to B"
• eg
• A={2,4,6,8}
• B={1,3,4,7,8}
• A-B={2,6}
• B-A={1,3,7}

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About SET

• equality of two set
• two set A&B are equal of all element"A elements are found in B&all B elements are found in A"
• A={1,2,3,4,5}
• B={1,2,3,4,5}
• then A=B
• disjoint set
• two set A&B are disjoint if the don't have elements in common
• A={a,b,c}
• B={1,2,3}
• finite & infinit set
• if set has finite numbers of elements it is finite set othervice its an infinite set
• eg
• if  M={x|x is positive integer below 100}
• M={1,2......99}
• its finite set because there is the end point
•  if N={x|x is a multiple of 5 and its x>50}
• N={55,60,65,......~}
• it is infinite set because we canot say the end point
• subsets
• If all elements of set "A" are found in other set "B" then "A" is a  subset of "B" we write this as (A⊂B)
• eg
• A={2,4,7}
• B={1,2,4,6,7,8}                 [A⊂B] proper subset
• eg2
• A={2,4,7,8}
• B={2,4,7,8}                      [A⊂B][B⊂A] equality
• Null set or empty set
• a set with no element its called  Nullset or emptyset
• M={  }   OR M=∅
• universal set
• all sets are under the universal set
• eg
• U={a,b,.......,z}=universal
• A={a,e,i,o,u}=subset
• B=a,b,c}
• complement of set
• if A sub set of "U"universal set than the complement is which is belongs to universal set not belongs to A
• U={1,2,3,4,5,6,7,8,9}
• A={1,2,3,4,5}
• A'={6,7,8,9}(A's complement)

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SET

• SET
• set is a well defined collection or grouping of objects
• elements or members
• object in a set are called elements or members of the set
• set are usually denoted by capital letters of the English alpha..(A,B,X,Z)
• members usually denoted by simple letters(a,b,x,z)
• Example
• if capital A is a set of odd integer below 10 than we can show this set as          A={1,3,5,7,9}
• 3 is a element of A=    3 belongs to A          =3∈A
• 8 is not element of A= 3 not belongs to A    =8∉A
• no.of elements of the set
• A={1,2,3,4,5,7}
• no elements is a set A its denoted by n[A] 
• n[A]=6
• Set builder form
• consider set"R" which is shown as R={x|x is a vowel letters below English alphabets}
• X={a,e,i,o,u}

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