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Question
Write the relation in the Roster form and hence find its domain and range:
R2 = `{("a", 1/"a") "/" 0 < "a" ≤ 5, "a" ∈ "N"}`
Solution
R2 = `{("a", 1/"a") "/" 0 < "a" ≤ 5, "a" ∈ "N"}`
∴ a = 1, 2, 3, 4, 5
∴ `1/"a" = 1,1/2,1/3,1/4,1/5`
∴ R2 = `{(1,1), (2,1/2), (3,1/3), (4, 1/4), (5, 1/5)}`
∴ Domain (R2) = {a / 0 < a ≤ 5, a ∈ N}
= {1, 2, 3, 4, 5}
Range (R2) = `{1/"a" "/" 0 < "a" ≤ 5, "a" ∈ "N"}`
= `{1,1/2,1/3,1/4,1/5}`.
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