Venn Diagrams.

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Presentation transcript:

Venn Diagrams

Note 7: Types of Diagrams Venn diagrams show relationships between two or more events. The rectangle represents the universal set and the circles represent events. A B U

The diagram shows set A within the universal set. A’, the complement of A is the shaded region outside the circle.

Subsets The subset (B  A) represents every element of B is also in A.

Intersection A B A ∩ B U The intersection (A ∩ B) represents both occurring. A and B.

Union A B A υ B U The union A υ B represents either A or B or both occurring. At least one of A or B.

Disjoint or Mutually Exclusive Sets B Disjoint sets have no common elements ie. there is NO intersection.

Example: Represent sets A and B on a venn diagram, given: 7 5 1 3 2 9 6 4 10 8 U Represent sets A and B on a venn diagram, given: U = {x| 0 < x < 10, x Z} A = {multiples of 3 less than 10} B = {factors of 24 less than 10}

Page 107 Exercise 3E