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Grade 8 - Mathematics
4.16 Graphical Representation of A X B

Example:
If A = {1,2,3,4} and B = {2,3} then represent A X B in a graph.

Solution:
Draw two line one horizontal and other vertical which are perpendicular to each other, and denote 1,2,3,.... on the horizontal and vertical line. Draw lines from 1,2,3,..... which are parallel to the vertical line. The elements of set A are denoted on parallel line and the elements of B are denoted on the vertical lines. Intersecting point of the vertical line from point 1 and the horizontal line from point 2 is denoted as (1,2). Similarly the intersections point of the vertical line from point 1 and the horizontal line from point 3 is denoted as (1,3).
The set of points so obtained is called the graph of A X B.


Directions: Draw the graphs for the following Cartesian product. Also write at least five examples of your own.
  1. A = {1,2,3} and B = {2,4,6} then represent A X B {(1,2) (1,4) (1,6) (2,2) (2,4) (2,6) (3,2) (3,4) (3,6)} in a graph.
  2. A = {0, 1} and B = {1,2,3} then represent A X B {(0,1) (0,2) (0,3) (1,1) (1,2) (1,3)} in a graph.
  3. A = {0,1,2} and B = {1} then represent A X B {(0,1) (1,1) (1,2)} in a graph.
  4. A = {1,2,3,4} and B = {0,1} then represent A X B {(1,0) (1,1) (2,0) (2,1) (3,0) (3,1) (4,0) (4,1)} in a graph.

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