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Chapter 1: Q70. (page 32)

Determine whether each statement is true or false. If false, give a counterexample.

Every irrational number is a real number.

Short Answer

Expert verified

The statement is true.

Step by step solution

01

Step 1- Apply the concept of real numbers.

Real numbers are simply the combination of rational and irrational numbers.

02

Step 2- Step description.

An irrational number is a type of real number which cannot be represented as a simple fraction. It cannot be expressed in the form of ratio, therefore every irrational number is a real number.

03

Step 3- Step description.

Sinceevery irrational number is a real number thus the statement is true.

Therefore, the statement is true.

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