Example 40 - Show that -a is not the inverse for + on N - Examples

Example 40 - Chapter 1 Class 12 Relation and Functions - Part 2

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Question 23 Show that a is not the inverse of a N for the addition operation + on N and 1 a is the not inverse of a N for the multiplication operation on N. Addition a N Hence, a is a natural number (i.e. positive number 1, 2, 3, ) So, a will be a negative Hence a is not a natural number a N So, a not is the inverse of a for addition on N. Multiplication a N Hence, a is a natural number (i.e. positive number 1, 2, 3, ) But , 1 is a fraction Hence 1 is not a natural number 1 N So, 1 is not the inverse of a for multiplication on N.

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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 14 years. He provides courses for Maths, Science and Computer Science at Teachoo