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in Sets, Relations and Functions by (25.7k points)
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Define a relation R on the set N of natural numbers by R = {(x, y): y = 2x - 1; x, y ∈ N, x ≤ 5}. Depict this relationship using roster form, Write down the domain and range.

1 Answer

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Best answer

Given y = 2x – 1 and x ≤ 5 

for x = 1, y = 2 × 1 – 1 = 1 

x = 2, y = 2 × 2 – 1 = 3 

x = 3, y = 2 × 3 – 1 = 5 

x = 4, y = 2 × 4 – 1 = 7 

x = 5, y = 2 × 5 – 1 = 9 

Relation R = {(1, 1), (2, 3), (3, 5), (4, 7), (5, 9)} 

∴ Domain = {1, 2, 3, 4, 5} 

∴ Range = {1, 3, 5, 7, 9}

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