State whether the following statements are true or false. Give reasons for your answers. <br/><br/>(i) Every natural number is a whole number. <br/><br/> (ii) Every integer is a whole number. <br/><br/> (iii) Every rational number is a whole number.

Solution: (i) True; since the collection of whole numbers contains all natural numbers.

(ii) False; as integers may be negative but whole numbers are positive. For example: −3 is an integer but not a whole number.

(iii) False; as rational numbers may be fractional but whole numbers may not be. For example: $\frac{1}{5}$ is a rational number but not a whole number.