Write the negation of the following statements:

(i) p: For every positive real number x, the number x – 1 is also positive.

(ii) q: All cats scratch.

(iii) r: For every real number x, either x > 1 or x < 1.

(iv) s: There exists a number x such that 0 < x < 1.

Asked by Pragya Singh | 1 year ago |  109

##### Solution :-

(i) The negation of statement p is as follows.
There exists a positive real number x, such that x -1  is negative

(ii) The negation of statement q is as follows.
There exists a cat that does not scratch.

(iii) The negation of statement r is as follows.
There exists a real number x , such that neither x >1 nor x < 1.

(iv) The negation of statement s is as follows.
There does not exist a number x , such that 0 < x < 1.

Answered by Abhisek | 1 year ago

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