Question:
Let $A=\{1,2,3,4,5\}$ The domain of the relation on $A$ defined by $R=\{(x, y): y=2 x-1\}$, is
Solution:
Given: $R=\{(x, y): y=2 x-1\}$, where $A=\{1,2,3,4,5\}$ and $x, y \in A$.
R = {(1, 1), (2, 3), (3, 5)}
Therefore, Domain of R = {1, 2, 3}.
Hence, the domain of the relation on A defined by R = {(x, y): y = 2x − 1}, is {1, 2, 3}.