Question 23 - Binary operations: Inverse - Chapter 1 Class 12 Relation and Functions

Last updated at April 16, 2024 by

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

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

Transcript

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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