Set notation - Set Theory

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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}.

  • 3.
    Understanding How to Use Set Notation

    Consider the following information:

    - Universal set UU = {0,1,2,3,4,5,...0, 1, 2, 3, 4, 5, ...}

    - Set NN = {all natural numbers}

    - Set AA = {00}

    - Set BB = { }

  • 4.
    Consider the following Venn Diagram:

    - Universal set U=U = {archery, eating, chess, darts, soccer, basketball, football, volleyball, badminton}

    - Set A=A = {archery, eating, chess, darts}

    - Set B=B = {soccer, basketball, football, volleyball}

  • 5.
    Consider the following Venn Diagram:

    Consider the Venn Diagram

  • 6.
    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}

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Set notation

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