Sample Solution from
College Algebra (6th Edition)
6th Edition
ISBN: 9780321916600
Chapter P
Problem 1RE
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To determine

Whether the statement “"Every real number is a rational number”" is true or false.



The statement is False.


A real number consist all the rational and irrational numbers. It may be represented in the form of a positive, negative or decimal number.

A rational number is a number which can be expressed in the form of pq where p and q are real numbers and q0. They are terminating in nature.

But, irrational numbers are the numbers which is non-terminating in nature.

Hence, the statement is false.

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