Real Number System

Which diagram could be used to classify all the numbers in the real number system?

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• Both numbers are real numbers.

• Both numbers are rational, irrational, and real numbers.

• Number A is a rational number and Number B is an irrational number.

• Number A is an irrational number, and Number B is a rational number.

Which diagram correctly displays the relationship between sets of numbers?

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Which statement is Not true about elements of the set of rational numbers?

• All integers are elements of the set.

• Elements of the set include repeating and terminating decimals.

• I only

• III only

• I, II, and III only

• IV only

According to the diagram, which statement is NOT true?

• All counting numbers are also rational

• all rational numbers are real numbers.

• All whole numbers are integers.

• All rational numbers are integers.