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WEEK FIVE
SETS
CONTENT:
- Set operations: Union, Intersection, Complement and number of elements in a set.
- Venn diagram and Applications up to 3 Set Problem
SUB TOPIC: SET OPERATIONS
UNION OF SETS: The union of set and is the set which consists of elements that are either in or or both. The set notation for the operation of union Thus, union is written as In set theoretical notation:
Example:
Given that (it contains equation that are not expressible here)
INTERSECTION OF SETS: The intersection of two sets is the set which consists of the elements that are in as well as in The set notation is written as Thus, means In set theoretical notation, the set
Example:
Given that (it contains equation that are not expressible here)
COMPLEMENT OF A SET IN A UNIVERSAL SET: Let be a universal set and is a subset. The complement of is the universal set written c or is the set of elements in which are not contained in .
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