Question

Which of the following is not logically equivalent to the proposition: “A real number is either rational or irrational”

• 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

Answer 1

Answer: (B)

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

Answer 2

It is correct.

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