Set notation - Set Theory

Do better in math today
Get Started Now

Set notation

Lessons

Notes:

Here are some terms that we need to know for set notations:

Set: A list of objects or numbers.

Element: An object or a number in a set.

n(AA): The number of elements in set AA.

Subset: A set where all its elements belong to another set.

Universal Set: A set of all elements in a particular context.

Empty Set: A set with no elements.

Disjoint: Two or more sets that do not have any elements in common.

Mutually Exclusive: Two or more events that cannot happen simultaneously.

Finite Set: A set with a finite number of elements.

Infinite Set: A set with an infinite number of elements.

Complement: The list of remaining elements in the universal set that is not in the mentioned set. If BB is a set. Then we defined the complement to be BB' or B\overline{B}.

Disjoint: Two or more sets that do not have any elements in common.

Mutually Exclusive: Two or more events that cannot happen simultaneously.

Finite Set: A set with a finite number of elements.

Infinite Set: A set with an infinite number of elements.

    • a)
      Definitions and Terms
    • b)
      Drawing Venn Diagrams with Sets
    • a)
      Is set NN a finite set or an infinite set? What about set BB ?
    • b)
      List all disjoint sets, if any.
    • c)
      Determine n(N)n(N) , n(A)n(A) if possible.
    • d)
      Patsy made a statement saying that n(A)=n(B)n(A)=n(B) . Is this true?
    • e)
      Is the statement NUN \subset U true?
    • a)
      Explain what the sets A,BA,B and UU represent.
    • b)
      List all disjoint sets, if any.
    • c)
      List all the elements of BB' .
    • d)
      Show that n(A)+n(A?)=n(C)n(A)+n(A?)=n(C) .
  • 3.
    Drawing and Interpreting Venn Diagrams

    Consider the following information:

    - Universal Set U=U = {-10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

    - Set A = {positive odd number up to 10}

    - Set B = {positive even number up to 10}

    - Set C = {0}

Teacher pug

Set notation

Don't just watch, practice makes perfect.

We have over 1850 practice questions in Algebra for you to master.