# Let A = {1, 2, 3, 4, 5} The domain of the relation on A defined by R

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}.