Given R = {(x, y) : x, y ∈ W, x2 + y2 = 25}.

Question:

Given R = {(x, y) : x, y ∈ W, x2 + y2 = 25}. Find the domain and Range of R.

Solution:

According to the question,

R = {(x, y) : x, y ∈W, x2 + y2 = 25}

R = {(0,5), (3,4), (4, 3), (5,0)}

The domain of R consists of all the first elements of all the ordered pairs of R.

Domain of R = {0, 3, 4, 5}

The range of R contains all the second elements of all the ordered pairs of R.

Range of R = {5, 4, 3, 0}

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