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 :

$R_2$ = "is equal to"

Answer 1

For the Relation $R_2$ we have to find the ordered pairs in the list where $x$ co-ordinate is equal to $y$ co-ordinate.
So, $(5,5),(6,6),(8,8)$ have their $x$ co-ordinate equal to $y$ co-ordinate.
Hence, $R_2=\left\{\right(5,5),(6,6),(8,8\left)\right\}$
Domain is the set of all $x$ co-ordinates $=\{5,6,8\}$
Range is the set of all $y$ co-ordinates $=\{5,6,8\}$.