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 :

$R_1$ = "is less than"

Answer 1

For the Relation $R_1$ we have to find the ordered pairs in the list where $x$ co-ordinate is less than $y$ co-ordinate.
So, $(5,6),(6,7)$ have their $x$ co-ordinate less than $y$ co-ordinate.
Hence, $R_1=\left\{\right(5,6),(6,7\left)\right\}$