Definitions

Set: a well-defined collection of objects

{ } : symbols around a collection of elements of a set that means “the set of”

element: any object/member of a set

B = {water, towel, book, sunscreen, mat, sun glasses} roster method (list elements in the set) B names the set

B = {b I b is an item you might take to the beach} set builder method

For set A below, what statement represents the set builder method of definition?

Set Operations

Suppose A = { pencil, calculator, book, paper, pen, water, notebook}.

What set is A + B? Proper usage: A B (union) ?

What set is the common elements of A and B? Proper usage: A B (intersect) ?

Suppose O = {1, 3} and C = { blue, green}. What is meant by the Cartesian Product of O X C?

{ (1, blue), (3, blue), } Can you finish the set?

What definition would you write for the Cartesian Product of two sets?

What is the Cartesian Product of the set of real numbers X the set of real numbers?