Choose all true statements:

1 - all real numbers are rational numbers.
2 - some rational numbers are natural numbers.
3 - no real numbers are irrational numbers.
4 - all whole numbers are integers.
5 - some integers are natural numbers.
6 - no rational numbers are integers.

1 - All real numbers are rational numbers.   FALSE
All real numbers are NOT rational numbers. The real numbers are made up of rational numbers and irrational numbers.

2 - Some rational numbers are natural numbers. TRUE
All natural number are rational numbers but not all rational numbers are natural numbers. Thus, some rational numbers are natural numbers.

3 - No real numbers are irrational numbers. FALSE
The real numbers are made up of rational numbers and irrational numbers. Thus, some real numbers are natural numbers.

4 - All whole numbers are integers. TRUE
The whole numbers are the natural numbers plus 0. The integers comprises of the whole numbers plus the negative of the whole numbers.
Thus, all whole numbers are integers.

5 - Some integers are natural numbers. TRUE
The integers comprises of the whole numbers plus the negative of the whole numbers. The whole numbers are the natural numbers plus 0. The natural numbers are the counting numbers, i.e. 1, 2, 3, . . . which are also part of integers.
Thus, some integers are natural numbers.

6 - No rational numbers are integers. FALSE
The rational numbers are made up of the integers and any number that can be expressed as a fraction.
Thus, all integers are rational numbers and some rational numbers are integers.