Which of the following statements are logically equivalent? A. All integers…
2026
Which of the following statements are logically equivalent?
A. All integers are real numbers.
B. All non-integers are non-real numbers.
C. All real numbers are integers.
D. No integers are non-real numbers.
Choose the correct answer from the options given below:
- A.
A, B and C only
- B.
C and D only
- C.
B and D only
- D.
A and D only
Attempted by 234 students.
Show answer & explanation
Correct answer: D
Statement A asserts that the set of integers is a subset of real numbers. Statement D states that no integer belongs to the set of non-real numbers, which is logically equivalent to saying all integers are real. Statement B represents the inverse and C represents the converse of A, neither of which preserves logical equivalence with the original statement. Therefore, only statements A and D are logically equivalent to each other.