Write 'T' for true and 'F' for false in each of the following:
(i) 0 is the smallest natural number.
(ii) Every natural number is a whole number.
(iii) Every whole number is a natural number.
(iv) 1 has no predecessor in whole numbers.
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Solution
(i) F (false). 0 is not a natural number. ā(ii) T (true). (iii) F (false). 0 is a whole number but not a natural number. (iv) F (false). 1 − 1 = 0 is a predecessor of 1, which is a whole number.