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Ex 2.2, 9 - Let R = {(a, b): a - b is an integer}. Find range, domain

Ex 2.2, 9 - Chapter 2 Class 11 Relations and Functions - Part 2


Transcript

Ex 2.2, 9 Let R be the relation on Z defined by R = {(a, b): a, b ∈ Z, a – b is an integer}. Find the domain and range of R. Given a, b are integers, i.e. a, b ∈ Z As difference of integers are integers, a – b is an also integer ∴ Domain of R = Set of all first elements in the relation = Values of ‘a’ which are in the relation = Z i.e. integers Range of R = Set of all second elements in the relation = Values of ‘b’ which are in the relation = Z i.e. integers

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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.