Question
Let A = {1, 2, 3} and B = {3, 4}. Find A × B and show it graphically.
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Answer
We have, A = {1, 2, 3} and B = {3, 4} $\therefore$ A × B = {1, 2, 3} × {3, 4} = {(1, 3), (1, 4), (2, 3), (2, 4), (3, 3), (3, 4)} To represent A × B graphically, follow the given steps: Draw two mutually perpendicular lines-one horizontal and one vertical. On the horizontal line, represent the elements of set A and on the vertical line, represent the elements of set B. 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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