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C IS THE FALSE
EVERY RATIONAL NUMBER IS NOT AN INTEGER
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- Looking at the 1st statement, integers are all numbers of the set containing the whole numbers with the negative numbers . A rational number is of the form p/q , where p and q are integers are q ≠ 0 .Note that every integer m can be written in the form of m/1 , hence every integer is a rational number .
- Looking at the second statement, natural numbers are all positive integers (excluding 0 and negative integers) . This only tells that every natural number is an integer .
- Looking at the fourth statement, whole numbers are natural numbers only just by the fact that 0 is included with it . So all whole numbers are integers as well .
- By looking at the third statement , we cannot say that every rational number p/q is an integer .It can be an integer if and only if q = 1 . Hence every rational number is not an integer .
Hence option(c) is correct .
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