Sets and Venn diagrams.

1. Sets & Venn
Diagrams

2. Venn Diagrams
John Venn

3. Set: a collection of objects may be things, people, numbers, etc ...
Null Set ( ): (A.K.A. the empty set) the empty set (it's got nothing in it) is
a subset of every set. It is written as {0}.
Universe: the set of all objects being considered.
Subset: a "smaller" collection of objects taken from a given set.

4. Union (U) a U b means gather all the objects in set A with all the
objects in set B. Union (U) means "or"
Operation on Sets

5. Operation on Sets
Compliment (A'): means everything that is outside set A.
Compliment (A') means "not".

6. Operation on Sets
Exclusion(): a/b means everything that is in set A excluding those
things that are also in set B. Exclusion() means excluding.

7. Operation on Sets
Intersection (⋂): A (⋂) B means gather all the objects that are in both
set A and B. Intersection means "and".

8. In the Venn Diagram below shade each of the following sets.
(a) M ∩ N
(f) M' N
(e) M ∩ N'
(d) M' ∪ N
(c) M N
(b) M'
(M N)'
(M' ∪ N)'

9. In the Venn Diagram below shade each of the following sets.
(a) X ∩ Y (b) X ∪ Y (c) X
(d) Y' (e) X Y (f) (X Y)'
(g) X' ∩ Y' (h) X Y' (i) X' ∪ Y
HOMEWORK