Question:
Let $A=\{1,2,3,4\}$ and $R$ be the relation on A defined by $\{(a, b): a, b \in A, a \times b$ is an even number $\}$, then the range of $R$ is
Solution:
Given: R = {(a, b): a, b ∈ A, a × b is an even number}, where A = {1, 2, 3, 4}.
R = {(1, 2), (1, 4), (2, 1), (2, 2), (2, 3), (2, 4), (3, 2), (3, 4), (4, 1), (4, 2), (4, 3), (4, 4)}
Therefore, Range of R = {1, 2, 3, 4}
Hence, the range of R is {1, 2, 3, 4}.