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Q.

Complete the following sentence: Every real number is either ____ number or ____ number.


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Detailed Solution

Concept- Real numbers are the largest set, which includes all other numbers such as Rational numbers, Irrational numbers, and their types.
Real numbers are a collection of all positive and negative numbers, as well as the subsets of integers, rational numbers, and irrational numbers.
As we all know, integers are all positive/negative rational numbers of the pattern Question Image, where Question ImageAll numbers of the form Question Image (Question Image not equal to Question Image) are rational numbers, whereas any number of the type Question Image (Question Image equal to Question Image) is an irrational number because the number cannot be defined with zero as the denominator.
As a result, we can say that integers are a particular case of real numbers, and so integers only belong to the set of real numbers.
Hence, every real number is either a rational number or irrational number.
 
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