Example 1 - Chapter 1 Class 12 Relation and Functions
Last updated at Dec. 16, 2024 by Teachoo
Last updated at Dec. 16, 2024 by Teachoo
Example 1 Let A be the set of all students of a boys school. Show that the relation R in A given by R = {(a, b) : a is sister of b} is the empty relation and R′ = {(a, b) : the difference between heights of a and b is less than 3 meters} is the universal relation. For relation R R = {(a, b) : a is sister of b} It is a boys school, so there are no girls student. There cannot be sister of any student of the school. Hence, R = φ, i.e. R is an empty relation. For relation R’ R’ = {(a, b) : the difference between heights of a and b is less than 3 meters} The difference between heights of any two students of the school has to be less than 3 meters (9.8 foot). So, R′ is the universal relation.
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About the Author
Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo