Question

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

Answer 1

Given as

A = {1, 2, 3} and B = {3, 4}

A x B = {1, 2, 3} × {3, 4}

= {(1, 3), (1, 4), (2, 3), (2, 4), (3, 3), (3, 4)}

Now, steps to follow to represent A × B graphically,

For the step 1: The one horizontal and one vertical axis should be drawn

For the step 2: The element of set A should be represented in horizontal axis and on vertical axis elements of set B should be represented

For the step 3: The draw dotted lines perpendicular to horizontal and vertical axes through the elements of set A and B

For the step 4: The point of intersection of these perpendicular represents A × B.