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TRUE OR FALSES
No irrational numbers are integers.
All whole numbers are irrational numbers.
Some whole numbers are not rational numbers.

Some rational numbers are not whole numbers.

Answer :

9514 1404 393

Answer:

  T, F, F, T

Step-by-step explanation:

No irrational numbers are integers.

  • All integers are rational numbers. By definition, an irrational number is not a rational number. So it must be true that an irrational cannot be an integer.

All whole numbers are irrational numbers.

  • Every whole number can be expressed as the ratio of two integers, hence is not an irrational number. The offered statement is false.

Some whole numbers are not rational numbers.

  • Every whole number is rational. The offered statement is false.

Some rational numbers are not whole numbers.

  • A reduced ratio of two integers with some number other than 1 in the denominator will not be a whole number. For example, 9/8 is not a whole number. The offered statement is true.