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).

Find the ordered pair(s) from above given list which satisfies the following relation.

$R_3$ = "is one less than"

Answer 1

For the relation $R_3$ we have to find the ordered pairs in the list where $x$ co-ordinate is one less than $y$ co-ordinate.
So, $(5,6),(6,7)$ have their $x$ co-ordinate one less than $y$ co-ordinate.
Hence, $R_3=\left\{\right(5,6),(6,7\left)\right\}$
Domain is the set of all $x$ co-ordinates $=\{5,6\}$
Range is the set of all $y$ co-ordinates $=\{6,7\}$.