Consider the two mathematical statement: The known integers to all of us are all rational numbers. The real number √ 2 can not be represented as p/q, where p, q are integers. Achieve the below set of conclusion by using all the rules of inference taught in class: (a) √ 2 is not an integer

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Consider the two mathematical statement: The known integers to all of us are all rational numbers. The
real number √
2 can not be represented as p/q, where p, q are integers.
Achieve the below set of conclusion by using all the rules of inference taught in class:
(a) √
2 is not an integer
(b) There exists at least one real number but not rational number
(c) It is not the case that all the numbers we know are both real number and integer number

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