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### Grade 8 - Mathematics4.47 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 Î A and y Î B} A X B ¹ B X A Example: If A = {1,2,3,4,5} and B = {9}, the find A X B. Solution: 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,e,i,o,u} and B = {y}, the find A X B.{(a,y), (e,y), (i,y), (o,y), (y,u)}{(1,a), (2,a), (3,a), (4,a)}{(a,y), (e,y), (i,y), (o,y), (u,y)}{(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)} Question 3: This question is available to subscribers only! Question 4: This question is available to subscribers only!