State whether the following statements are true or false. Give reasons

1.	State whether the following statements are true or false. Give reasons for your answers :(i) Every natural number is a whole number.(ii) Every integer is a whole number.(iii) Every rational number is a whole number.
Answer» (i) True. Because set of natural number belongs to set of whole numbers. ∴ W = {0, 1, 2, 3 …………………….} (ii) False. Because zero belongs to set of integers. But -2, -3, -1 are not whole numbers. (iii) False. Because \(\frac{1}{2}\) is a rational number but not a whole number.

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

Answer»

(i) True. Because set of natural number belongs to set of whole numbers.

∴ W = {0, 1, 2, 3 …………………….}

(ii) False. Because zero belongs to set of integers. But -2, -3, -1 are not whole numbers.

(iii) False. Because \(\frac{1}{2}\) is a rational number but not a whole number.