Solve this

Question:

Let $A=\{(x, y): x+3 y=12, x \in N$ and $y \in N\}$

(i) Write R in roster form.

(ii) Find dom (R) and range (R). 

 

Solution:

Given: $A=\{(x, y): x+3 y=12, x \in N$ and $y \in N\}$

(i) So, R in Roster Form is,

$R=\{(3,3),(6,2),(9,1)\}$

(ii) $\operatorname{Dom}(R)=\{3,6,9\}$

Range(R) $=\{1,2,3\}$

 

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