# If R = [(x, y) : x, y ∈ W, 2x + y = 8],

Question:

If R = [(xy) : xy ∈ W, 2x + y = 8], then write the domain and range of R.

Solution:

R = {(xy) : xy ∈ 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}

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