Write the following relation as the sets of ordered pairs: A rela… - Vidyadip

Question

Write the following relation as the sets of ordered pairs:
A relation R from a set A = {5, 6, 7, 8} to the set B = {10, 12, 15, 16, 18} defined by $\text{x, y}\in\text{R}\Leftrightarrow\text{x}$ divides y.

✓

Answer

We have,
A = {5, 6, 7, 8} and B = {10, 12, 15, 16, 18}
Now,
$\frac{\text{a}}{\text{b}}$ stands for 'a divides b'. For the elements of the given set A and B.
We find that $\frac{5}{10},\frac{5}{15},\frac{6}{12},\frac{6}{18}$ and $\frac{6}{16}$
$\therefore\ (5,10)\in\text{R},(5,15)\in\text{R},(6,12)\in\text{R},(6,18)\in\text{R},$ and $(8,16)\in\text{R}$
Thus,
$\text{R}=\{(5,10),(5,15),(6,12),(6,18),(8,16)\}$

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