Sets and venn diagrams

Definition and Examples of Sets; Operations on Sets, Types of Sets

1. SETS AND VENN DIAGRAMS DR. FARHANA SHAHEEN

2. Sets A Set is a collection of well-defined and distinct objects. Sets are denoted by capital letters A, B, C, etc.

3. Example: Set of Polygons P Square is a member of P Circle is not a member of P

4. Example:01

5. Subset of a Set

6. O perations on Sets Sets are treated as mathematical objects. Similar to numbers, we can perform certain mathematical  operations on sets . I ntersection : U nion : C omplement  of A = = { Di fference:  

8. Union and Intersection of two sets

9. = {  

10. Venn Diagram of complement of A Universal set is the largest set. Let A be a subset of U. Then A’ is the complement of A, which is the set of all elements which are Not in A.

11. VENN DIAGRAMS UNION INTERSECTION COMPLEMENT OF TWO SETS A and B

12. DISJOINT SETS Two sets A and B are called disjoint when they have nothing in common. The sets which are Not disjoint are called Overlapping sets. Example:

13. Disjoint Sets

14. Example:02 U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} T is the set of all multiples of 2 F is the set of all multiples of 4 Write T and F in Tabular form. Find T’ and F’. Draw the Venn Diagram.

15. Difference of two sets B A Note that  

16. Example: 03

17. https://www.slideshare.net/AdilAslam4/basic-of-sets-notes-set-theory