3. If A and , then 4. If A and , then 5. If A and then 6. If A, then B is called as super set of A. It is denoted as 7. If A and Then A is called as proper subset of B. 8. If then total number of subsets of A = and number of proper subsets is -1 Finite Set: Set A is said to be finite if it contains countable number of elements Finite sets are sets that have a finite number of members. If the elements of a finite set are listed one after another, the process will eventually out” of elements to list. “run Example: A = {0, 2, 4, 6, 8, 100} …, C = {x : x is an integer, 1 < x < 10} Infinite Set: Set A is said to be infinite if it contains uncountable number of elements. Eg: and N={1, 2, 3, …..} An infinite set is a set which is not finite. It is not possible to explicitly list out all the elements of an infinite set. Example: T = {x : x is a triangle} N is the set of natural numbers A is the set of fractions Equal sets: Two sets A and B are said to be equal if A and B have the same element . A = , B = Equivalent sets: Two sets A and B are said to be equivalent if n(A) = n(B) A={1,2,3} B={a,b,c} clearly n(A) = n(B)=3 Universal set: A set which is superset of all sets under consideration is called universal set .It is denoted by U. A={1,2,3} B={2,3,5} C={1,4,6}
3. If A and , then 4. If A and , then 5. If A and then 6. If A, then B is called as super set of A. It is denoted as 7. If A and Then A is called as proper subset of B. 8. If then total number of subsets of A = and number of proper subsets is -1 Finite Set: Set A is said to be finite if it contains countable number of elements Finite sets are sets that have a finite number of members. If the elements of a finite set are listed one after another, the process will eventually “run out” of elements to list. Example: A = {0, 2, 4, 6, 8, …, 100} C = {x : x is an integer, 1 < x < 10} Infinite Set: Set A is said to be infinite if it contains uncountable number of elements. Eg: and N={1, 2, 3, …..} An infinite set is a set which is not finite. It is not possible to explicitly list out all the elements of an infinite set. Example: T = {x : x is a triangle} N is the set of natural numbers A is the set of fractions Equal sets: Two sets A and B are said to be equal if A and B have the same element . A = , B = Equivalent sets: Two sets A and B are said to be equivalent if n(A) = n(B) A={1,2,3} B={a,b,c} clearly n(A) = n(B)=3 Universal set: A set which is superset of all sets under consideration is called universal set .It is denoted by U. A={1,2,3} B={2,3,5} C={1,4,6}
XI%20MATHS%20RO%20RAIPUR.docx