State whether the following statements are true or false. Give reasons for your answer.
(i) Every natural number is a whole number.
(ii) Every whole number is a natural number.
(iii) Every integer is a whole number.
(iv) Every integer is a rational number.
(v) Every rational number is an integer.
(vi) Every rational number is a whole number.
State whether the following statements are true or false. Give reasons for your answers.
(ii) Every integer is a whole number.
(iii) Every rational number is a whole number.
Every whole number is a natural number but every natural number is not a whole number.
(i) Every natural number is a rational number.
(ii) Every integer is a rational number.
(iii) 0 is a whole number, but not a rational number.