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

Explanation

(i) The statement - Every natural number is a whole number.
is true as the set of natural numbers is represented as N = {1, 2, 3...} and the set of whole numbers is W = {0, 1, 2, 3...}.

Thus every natural number is present in the set of whole numbers



ii) The statement -Every integer is a whole number.

is false as the set of integers is represented as Z = { -2, -1, 0, 1, 2...} and the set of whole numbers is W = {0, 1, 2, 3...}.

Thus negative integers are not the elements of the whole numbers set.



iii) The statement- Every rational number is a whole number.
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