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Write Which of the Following Statements Are True? Justify Your Answer. the Set of All Integers is Contained in the Set of All Set of All Rational Numbers. - Mathematics

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Question

Write which of the following statements are true? Justify your answer. 

The set of all integers is contained in the set of all set of all rational numbers. 

Solution

True 
A rational number is any \[\frac{m}{n}\] where m and n are any integers (n\[\neq\]0) Any integer can be put into that form by setting n = 1. Therefore, the set of all integers is contained in the set of all rational numbers.

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Chapter 1: Sets - Exercise 1.04 [Page 16]

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RD Sharma Mathematics [English] Class 11
Chapter 1 Sets
Exercise 1.04 | Q 4.1 | Page 16

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