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)