Question

6. (a) x € {2,4,6,9) and y € {4,6, 18, 27, 54}.
Form all ordered pairs (x, y) such that x is a factor of
y and x<y.
​

Answer 1

Concept used:

Let A and B be two sets. Then, the cartesian product of A and B is defined as

$\bf\,A{\times}B=\{(x,y)\,|\,x\in\,A\;\&\;y\in\,B\}$

$\text{Let}\;A=\{2,4,6,9\}\;\text{and}\;$

$B=\{4,6,18,27,54\}$

Now, we find all ordered pairs (x,y) such that x is a factor of y and x<y

$\;(2,4),\;(2,6),\;(2,18),\;(2,54),\;(6,18),\;(6,54),\;(9,18),\;(9,27),\;(9,54)$