-1. Union-the union of the sets A&B is the smallest set consisting of the members/elements of both set A & B.
AUB={x|x is in A or X is in B}
2. Intersection- the intersection of sets A & B is the smallest set consisting of the elements common in both set A & B.
A B={x|x is in A and x is B}
3. Complement the complement of set B with respect to A is denoted as:
A-B={x|x is in A and x is not in B }
Facts: AUB=BUA
A B=B A
A-B B-A
A-A=empty set
4. Symmetric-the symmetric difference of A and B is denoted as A+B
A+B={x|x is in A but not in B or x is in B but not in A}
A+B=(A-B)U(B-A)
For example:
A={1,5,7,9}
B={3,1,7,4,2}
1. Union
AUB={1,5,7,9,3,4,2}
2. Intersection
A B={1,7}
3. complement
A-B={5,9}
B-A{3,4,2}
4. symmetric
A+B={5,9,3,4,2}Homework is not to be done by others:)
it should be done by yourself:)
good luck!!
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