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Write the relation in the Roster Form. State its domain and range R2 = {(a,1a)/0<a≤5,a∈N} - Mathematics and Statistics

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Question

Write the relation in the Roster Form. State its domain and range

R2 = `{("a", 1/"a") // 0 < "a" ≤ 5, "a" ∈ "N"}`

Sum

Solution

R2 = `{("a", 1/"a") // 0 < "a" ≤ 5, "a" ∈ "N"}` 

∴ R2 = `{(1, 1), (2, 1/2), (3, 1/3),(4, 1/4), (5, 1/5)}`

Domain of R2 = {a/0 < a ≤ 5, a ∈ N}

= {1, 2, 3, 4, 5}

Range of R2 = `{1/"a" // 0 < "a" ≤ 5, "a" ∈ N}`

= `{1, 1/2, 1/3, 1/4, 1/5}`

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Chapter 5: Sets and Relations - Exercise 5.2 [Page 103]

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