SS1 First Term Further Mathematics Lesson Note – Sets II

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WEEK FIVE

SETS

CONTENT:

1. Set operations: Union, Intersection, Complement and number of elements in a set.
2. 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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