Let A = {1, 2, 3} and B = {3, 4}.
Question:

Let A = {1, 2, 3} and B = {3, 4}. Find A × B and show it graphically.

Solution:

Given:

A = {1, 2, 3} and B = {3, 4}

Now,

A × B = {(1, 3), (1, 4), (2, 3), (2, 4), (3, 3), (3, 4)}

To represent A × graphically, follow the given steps:

(a) Draw two mutually perpendicular lines—one horizontal and one vertical.

(b) On the horizontal line, represent the elements of set A; and on the vertical line, represent the elements of set B.

(c) Draw vertical dotted lines through points representing elements of set A on the horizontal line and horizontal lines through points representing elements of set B on the vertical line.

The points of intersection of these lines will represent A × B graphically.

 

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