Let R be a relation on the set N of natural numbers defined by R = {(x, y) : x + 2y = 8}. The domain of R is:

Model Answer & Options

Source: Extra Practice

{2, 4, 6}

{1, 2, 3}

{2, 4, 8}

{1, 2, 3, 4, 5, 6, 7}

Explanation

Given x + 2y = 8 and x, y ∈ N. If y=1, x=6; if y=2, x=4; if y=3, x=2. If y=4, x=0 (not a natural number). Thus, the possible values for x (the domain) are {2, 4, 6}. Option 2 is the range {1, 2, 3}. Option 3 includes 8, which would make y=0 (not natural). Option 4 is too broad.

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