Are the following statements true or false? Give reasons for your answers.
$(i)$ Every whole number is a natural number.
$(ii)$ Every integer is a rational number.
$(iii)$ Every rational number is an integer.
$(i)$ Every whole number is a natural number.
$(ii)$ Every integer is a rational number.
$(iii)$ Every rational number is an integer.
(N/A) $(i)$ False,because $0$ is a whole number but not a natural number.
$(ii)$ True,because every integer $m$ can be expressed in the form $\frac{m}{1}$,where $m$ is an integer and $1$ is a non-zero integer,so it is a rational number.
$(iii)$ False,because $\frac{3}{5}$ is a rational number but it is not an integer.
$(ii)$ True,because every integer $m$ can be expressed in the form $\frac{m}{1}$,where $m$ is an integer and $1$ is a non-zero integer,so it is a rational number.
$(iii)$ False,because $\frac{3}{5}$ is a rational number but it is not an integer.
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