Answer to Question #130754 in Real Analysis for Nokwe

Question

3.3 Which of the following statements are True or False. In case(s) where False is the answer 

provide the correct answer. 

3.3.1 No integer is an irrational number 

3.3.2 Every integer is a rational number 

3.3.3Every integer is a whole number

Answer 1

Answer 3.3.1)

No integer is an irrational number - TRUE

Because Irrational numbers are numbers that cannot be expressed as a ratio between 2 numbers and their decimal expansion also do not terminate. On the other hand all the integers can be expressed as a ratio between 2 numbers and they also have a definite value of decimal expansion.

Answer 3.3.2)

Every integer is a rational number - TRUE

Because all the integers can be expressed as a ratio between 2 numbers same like rational number.

Answer 3.3.3)

Every integer is a whole number - FALSE

Correct statement is-

All whole numbers are integers but all integers are not whole numbers