Question:
If R = [(x, y) : x, y ∈ W, 2x + y = 8], then write the domain and range of R.
Solution:
R = {(x, y) : x, y ∈ W, 2x + y = 8}
For $\mathrm{x}=0, \mathrm{y}=8$
For $\mathrm{x}=1, \mathrm{y}=6$
For $\mathrm{x}=2, \mathrm{y}=4$
For $\mathrm{x}=3, \mathrm{y}=2$
For $x=4, y=0$
For $\mathrm{x}=5, \mathrm{y}<0$
So, $\mathrm{y}<0$ for all $\mathrm{x}>5$
∴ Domain (R) = {0,1,2,3,4} and Range (R) = {0,2,4,6,8}