Sets and Subsets - Real Number System

Which lists the correct labels for the diagram shown?

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

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In which section of the diagram does the number

 $-\frac{2}{9}$  belong?

• Natural

• Integers

• Rational

• Irrational

A set of numbers is shown.

{ $-\frac{3}{4},\sqrt{144},17.85,\frac{18}{3}$  }

Which of the following best fits in the set?

•  $\sqrt{136}$  

•  $\frac{27}{7}$  

•  $0.12122122212222...$  

•  $\pi$  

• Irrational numbers

• Rational numbers

• Integers

• Whole numbers

If a number is an element of the set of real numbers, which of the following statements must also be true?

• The number is an element of either the set of rational numbers or the set or irrational numbers.

• The number is an element of both the set of rational numbers and the set or irrational numbers.

• The number is an element of the set of rational numbers but not the set of irrational numbers.

• The number is an element of the set of irrational numbers but not the set of rational numbers.

To which of the following set of numbers does  $\sqrt{196}$  belong?

• I only

• I, II, III only

• III only

• IV only

Which diagram correctly displays the relationship between set of numbers?

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