Question

Given ordered pairs : (5, 4), (5, 5), (5, 6), (6, 4), (6, 5), (6, 6), (6, 7), (8, 4), (8, 5), (8, 6), (8,8).

Use these ordered pairs to find the following relation :

$R_4$ = "is greater than"

Answer 1

For the Relation $R_4$ we have to find the ordered pairs in the list where $x$ co-ordinate is greater than $y$ co-ordinate.
So, $(5,4),(6,4),(6,5),(8,4),(8,5),(8,6)$ have their $x$ co-ordinate greater than $y$ co-ordinate.
Hence, $R_4=(5,4),(6,4),(6,5),(8,4),(8,5),(8,6)$
Domain is the set of all $x$ co-ordinates $=\{5,6,8\}$
Range is the set of all $y$ co-ordinates $=\{4,5,6\}$.