Ex 2.2, 1 - Let A = {1, 2, 3, .. ,14}. Define a relation R - Finding Relation - Set-builder form given

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Ex 2.2,1 Let A = {1, 2, 3, … , 14}. Define a relation R from A to A by R = {(x, y): 3x – y = 0, where x, y ∈ A}. Write down its domain, codomain and range. It is given that 3x – y = 0 ⇒ 3x = 0 + y ⇒ 3x = y ⇒ y = 3x R = {(1, 3), (2, 6), (3, 9), (4, 12)} Domain of R = Set of all first elements of the ordered pairs in the relation. = {1, 2, 3, 4} Range of R = Set of all second elements of the ordered pairs in the relation. = {3, 6, 9, 12} Codomain R is defined from A to A ∴ Codomain of R = A = {1, 2, 3, …, 14}

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