Set Language And Notation

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Set Language And Notation

  1. 1. Set language and notation<br />Mathematics Chapter 10<br />
  2. 2. Elements of a Set<br />A set is a collection of objects called elements which are clearly defined.<br />It can be defined by :<br />List the elements with {2, 4, 6, 8}<br />State the properties of the elements with {even nos.}<br />Draw a Venn diagram<br />
  3. 3. Null and Equal sets<br />A null set is an empty set with no elements or one general element. <br />It is denoted by .<br />A pair of equal sets are sets with similar elements.<br />
  4. 4. Subsets and Proper subsets<br />When all the elements of A are all the elements of B, A is the subset of B and A B.<br />When B contains more elements of A and all the elements of A, A is the proper subset of B and A B.<br /> as a subset of every set.<br />
  5. 5. Complement of a set<br />The complement of a set are the elements in a universal set, E, that are not members of the set.<br />The complement of A is written as A’.<br />When E = {integers from 1 to 10} and A = {integers from 1 to 5}, A’ = {integers from 6 to 10}.<br />
  6. 6. Intersection of a set<br />The intersection of two sets is the set of elements common to both sets.<br />A B is expressed as the intersection of A and B.<br />When A = {1, 3} and B = {3, 4}, A B = {3}.<br />
  7. 7. Union of a set<br />The union of A and B is the set of all the elements in A and all the elements in B.<br />A B is expressed as the union of A and B.<br />When A = {1, 2, 3} and B = {3, 4}, A B = {1, 2, 3, 4}.<br />
  8. 8. END<br />

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