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U: the set of all real numbers Q: the set of all rational numbers I: the set of all integers. The above Venn diagram represents the truth value of which of the following statements? - Mathematics and Statistics

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Question

U: the set of all real numbers.

Q: the set of all rational numbers.

I: the set of all integers.

The above Venn diagram represents the truth value of which of the following statements?

Options

  • Some integers are rational numbers.

  • All integers are rational numbers.

  • No integers are rational numbers.

  • All rational numbers are integers.

MCQ
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Solution

Explanation:

Since the set of integers (I) lies entirely within the set of rational numbers (Q), every integer is a rational number.

Thus, the diagram represents that all integers are rational numbers.

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