Question
Determine the domain and range of the following relations: $\text{R}=\{(\text{a, b}):\text{a}\in\text{N},\text{a}<5,\text{b}=4\}$

Answer

We have, $\text{R}=\{(\text{a, b}):\text{a}\in\text{N},\text{a}<5,\text{b}=4\}$ ⇒ a = 1, 2, 3, 4 and b = 4 Thus, R = {(1, 4), (2, 4), (3, 4), (4, 4)} Clearly, Domain(R) = {1, 2, 3, 4} and Range(R) = {4}

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