Question

Let R be the relation on N defined as by x + 2 y = 8 The domain of R is ____________.

Options

• {1, 2, 3, 4}

• {2, 4, 6}

• {2, 4, 8}

• {2, 4, 6, 8}

Answer 1

Let R be the relation on N defined as by x + 2 y = 8 The domain of R is {2, 4, 6}.

Explanation:

Because xRy = 8 if x + 2 y = 8, the domain of the relation R is x = 8 – 2y ∈ N. When y equals 1, `=>` x equals 6, when y equals 2,`=>` x equals 4, and when y equals 3, `=> `x equals 2. As a result, domain is {2, 4, 6}.