Let `R` be a relation defined on the set of natural numbers N as `R={(x , y): x , y in N ,2x+y=41}` Find the domain and range of R. Also, verify whether R is (i) reflexive, (ii) symmetric (iii) transitive.

Explanation

To solve the problem, we will follow these steps:

### Step 1: Define the Relation
The relation \( R \) is defined as:
\[ R = \{(x, y) : x, y \in \mathbb{N}, 2x + y = 41\} \]

### Step 2: Find the Domain of \( R \)
The domain consists of all possible values of \( x \) such that there exists a corresponding \( y \) in natural numbers.
...