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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 = y y = 3x Finding Relation R First, we check which values of x, y is in set A If both x and y are in set A, then (x, y) ∈ R ∴ R = {(1, 3), (2, 6), (3, 9), (4, 12)} Domain of R = Set of all first elements of the ordered pairs = {1, 2, 3, 4} Range of R = Set of all second elements of the ordered pairs = {3, 6, 9, 12} Codomain R is defined from A to A ∴ Codomain of R = A = {1, 2, 3, …, 14}

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.