Which statement is true about the relationships between the number sets?(1 point)%0D%0AResponses%0D%0A%0D%0ANot all natural numbers are real numbers.%0D%0ANot all natural numbers are real numbers.%0D%0A%0D%0AAll rational numbers are also integers.%0D%0AAll rational numbers are also integers.%0D%0A%0D%0AWhole numbers include all natural numbers and 0.%0D%0AWhole numbers include all natural numbers and 0.%0D%0A%0D%0ASome irrational numbers are also integers.

1 answer

The true statement about the relationships between the number sets is:

Whole numbers include all natural numbers and 0.

Here's a brief explanation of why the other statements are false:

  1. Not all natural numbers are real numbers. - This statement is false because all natural numbers are indeed real numbers.

  2. All rational numbers are also integers. - This is false. While all integers are rational numbers, not all rational numbers are integers (for example, 1/2 is a rational number but not an integer).

  3. Some irrational numbers are also integers. - This is false because irrational numbers cannot be integers (irrational numbers cannot be expressed as a fraction of two integers).

Therefore, the correct statement among the options is the one about whole numbers.