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

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 or irrational

Tardigrade Admin · Accepted Answer

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

Q. Which of the following is not logically equivalent to the proposition: ''A real number is either rational or irrational"

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

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

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

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

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