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SETS AND VENN DIAGRAMS.

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Presentation on theme: "SETS AND VENN DIAGRAMS."— Presentation transcript:

1 SETS AND VENN DIAGRAMS

2 and A = {Tuesday, Thursday}. These can be shown on a Venn diagram.
The language of sets The universal set ( ) contains all the elements being considered in a particular problem. Monday Tuesday Wednesday Thursday Friday Saturday Sunday A Let = {days in the week} and A = {Tuesday, Thursday}. These can be shown on a Venn diagram. The set A has been shaded on the diagram. The number of elements in set A is denoted by n(A). n(A) = 2 The symbol means ‘is a member of’. The symbol means ‘is not a member of’.

3 Venn diagrams

4 The complement of set A is the set of all elements not in A.

5 The intersection of sets A and B is the set of elements that are in both A and B.

6 The union of sets A and B is the set of elements that are in A or B or both.

7 When the expressions are more complicated you may need to use some diagrams for your working out before deciding on your answer .

8 Example 1 A B A B A B

9 Example 2 A B A B A B

10 Example 3 A B A B

11 Example 4 A B A B A B

12 Example 5 A B A B A B

13 Example 6 A B C

14 Example 7 A B C

15 Example 8 A B C A B C A B C

16 Example 9 A B C A B C A B C

17 Example 10 A B C A B C A B C


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