COMEDK · Maths · 20. Sets and Relations
Let R be a relation on natural numbers defined by \(x+2 y=8, x, y \in N\). The domain of R is
- A \(\{1,2,3\}\)
- B \(\{2,4,6\}\)
- C \(\{2,4,8\}\)
- D \(\{2,4,6,8\}\)
Answer & Solution
Correct Answer
(B) \(\{2,4,6\}\)
Step-by-step Solution
Detailed explanation
The relation \(R\) is defined on natural numbers \(N = \{1, 2, 3, ...\}\) by the equation \(x + 2y = 8\). To find the domain, we solve for \(x\) in terms of \(y\): \(x = 8 - 2y\). Since \(x\) must be a natural number, \(x \ge 1\). Substituting the expression for \(x\):…
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