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

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  1. Chapter 1 Class 12 Relation and Functions
  2. Serial order wise
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Example 40 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﷮𝑎﷯ is a fraction Hence 1﷮𝑎﷯ is not a natural number 1﷮𝑎﷯ ∉ N So, 1﷮𝑎﷯ is not the inverse of a for multiplication on N.

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He provides courses for Mathematics from Class 9 to 12. You can ask questions here.
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