Choose all true statements.
All real numbers are rational numbers.
Some rational numbers are natural numbers.
No real numbers are irrational numbers.
All whole numbers are integers.
Some integers are natural numbers.
No rational numbers are integers

Respuesta :

In mathematics, the numbers were classified into different sets that are:

Real Numbers: A set made up of natural, integer, rational, and irrational numbers.

Natural Numbers: A set of numbers that are used to count, is denoted by N, and is N = {1,2,3,4,5, ...}. For every natural number n, there is its next one represented by n + 1.

Whole Numbers: A set made up of natural numbers, their opposites (negative), and zero.

Rational Numbers: A set made up of all the quotients of two whole numbers where the denominator is different from zero

Irrational Numbers: A set made up of all infinite non-periodic decimal numbers.

Based on the above definitions, it can be inferred that the true statements are:

  • Some rational numbers are natural numbers
  • All integers are integers
  • Some integers are natural numbers

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