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Home » Write the negation of the following statements: (i) p: For every positive real number x, the number (x – 1) is also positive. (ii) q: For every real number x, either x > 1 or x < 1.
Write the negation of the following statements: (i) p: For every positive real number x, the number (x – 1) is also positive. (ii) q: For every real number x, either x > 1 or x < 1.
CBSE | Class 11 | Exercise 31.2 | Mathematical Reasoning | Maths | RD Sharma
Write the negation of the following statements: (i) p: For every positive real number x, the number (x – 1) is also positive. (ii) q: For every real number x, either x > 1 or x < 1.

Answers:

(i) 

The negation of the statement:

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

~p: There exists a positive real number x, such that the number (x – 1) is not positive.

(ii)

The negation of the statement:

q: For every real number x, either x > 1 or x < 1.

~q: There exists a real number such that neither x>1 or x<1.

i

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