Calculate the distance between the given points, and nd the midpoint of the segment joining them.

CHAPTER 2.3- CARTESIAN PRODUCTS OF SETS The Cartesian product of A and B is A x B o A x B= {(a,b): a € A and b € B} o (a,b) is an ordered pair Example: A = {1,2} B= {x,y} A X B= {(1,x), (1,y), (2,x), (2,y) The cardinality is 4 If |A| =m and |B| = n then |AxB|= m*n o Options of A multiplied by options of B give us the cardinality of the Cartesian product CHAPTER 2.4- PARTITION Partition- a partition of a non-empty set A is a collection of nonempty subsets of A such that every element of A belongs to exactly one of the subsets o A={1,2,3,4,5} P={S S , S 1,=2{ 3 {1,2} {3,4} {5}} S 1{1,2} S ={2,4} S ={5}3 Every set is a subset of itself