2.3 and 2.4 Venn diagrams and set operations
U = { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
A = { 1, 3, 5, 7, 9}
B = { 1, 4, 5, 6, 7, 8}
C = { 3, 5, 8, 9}
Introduce 1 set venn diagrams
Introduce 2 set venn diagrams and the four different ways to draw them.
- Equal,
- Disjoint - two sets A and B are disjoint if no element of A is an element of B and no element of B is an element of A.
- Subset
- Overlapping A
Introduce generic 3 set venn diagrams.
Introduce at least one, at most one, exactly one.
The complement of a set A' consists of all elements of the universal set which are not in A.
Find B'
The intersection of two sets A and B (A ∩ B) is the set of elements which are in set A and also in set B.
The union of two sets A and B (A ∪ B) is the set of elements in A or in B or both.
n(A ∪ B) = n(A) + n(B) - n(A ∩ B)
The difference of two sets A and B (A-B) is the set of elements in A which are not in B.
Do Page 69 33-96
Do 100
Page 77 Do, 9, 41-46, 47-60, 86