Page 53 - 091math-wb-w3-(sets)
P. 53
WORKBOOK
II) Compare n(A x B) and n(B x A). Express them in terms of n(A) and n(B).
AxA=A 2
AxAxA=A
3
III) Write AxA and BxB
Example 9: AxB={(1,3),(2,3),(4,3),(1,2),(2,2),(4,2)} is given.
a) Show AxB in the coordinate plane.
b) Find A B and A B .
The Properties of the Cartesian Product
1. A x B x C = A x (B x C) = (A x B) x C
Example 10: For A = {1,2}, B={a,b} and C={n}, find A x B x C.
2. A x (B ∪ C) = (A x B) ∪ (A x C)
53 091math-wb-w3-(sets)
