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Grade 8 - Mathematics
4.47 Cartesian Product of Two Sets - I

If A and B are two sets, the set containing all the ordered pairs where the first element is taken from A and the second element is taken from B is called the Cartesian product of A and B and is denoted by A X B, and read as A cross B.
A X B = {(x,y)/ x A and y B}

If A = {1,2,3,4,5} and B = {9}, the find A X B.

The ordered pairs are (1,9), (2,9), (3,9), (4,9) and (5,9)
The set of ordered pairs can be written as {(1,9), (2,9), (3,9), (4,9), (5,9)}
Therefore, A X B = {(1,9), (2,9), (3,9), (4,9), (5,9)}

Directions: Solve the following problems. Also write at least five examples of your own.
Q 1: If A = {a,b,c,d} and B = {x}, the find A X B.
{(1,x), (x,2), (3,x), (4,x)}
{(1,x), (2,x), (3,x), (4,x)}
{(1,x), (2,x), (x,3), (4,x)}
{(a,x), (b,x), (c,x), (d,x)}

Q 2: If A = {1,2,3,4} and B = {x}, the find A X B.
{(1,x), (2,x), (3,x), (4,x)}
{(1,x), (2,x), (x,3), (4,x)}
{(1,x), (2,x), (3,y), (4,x)}
{(1,x), (2,y), (3,x), (4,x)}

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