Example 7 - Let A = {1, 2, 3, 4, 5, 6}, R = {(x, y): y = x + 1}

Example 7 - Chapter 2 Class 11 Relations and Functions - Part 2

Example 7 - Chapter 2 Class 11 Relations and Functions - Part 3

 

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Transcript

Example 7 Let A = {1, 2, 3, 4, 5, 6}. Define a relation R from A to A by R = {(x, y) : y = x + 1 } Depict this relation using an arrow diagram. It is given that y = x + 1 Also, x, y ∈ A R = {(1, 2), (2, 3), (3, 4), (4, 5), (5, 6)}. Arrow Diagram R from A to A Where A = {1, 2, 3, 4, 5, 6} Example 7 Let A = {1, 2, 3, 4, 5, 6}. Define a relation R from A to A by R = {(x, y) : y = x + 1 } (ii) Write down domain, co-domain and range of R R = {(1, 2), (2, 3), (3, 4), (4, 5), (5, 6)}. Domain = Set of all first elements in relation = {1, 2, 3, 4, 5} Range = Set of all second elements in relation = {2, 3, 4, 5, 6} Co-domain = Set A (the whole right set in this relation) = {1, 2, 3, 4, 5, 6}

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.