Mathematical Logic And Boolean Algebra Question 141

Question: Which of the following is not logically equivalent to the proposition : ?A real number is either rational or irrational?.

Options:

A) If a number is neither rational nor irrational then it is not real

B) If a number is not a rational or not an irrational, then it is not real

C) If a number is not real, then it is neither rational nor irrational

D) If a number is real, then it is rational or irrational

Show Answer

Answer:

Correct Answer: B

Solution:

It is correct. $ \because ,\sqrt{3} $ is not rational but it is real.



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