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in Number System by (65.5k points)

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. 

1 Answer

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(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.

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