Correct option is B
Introduction:
The question requires determining which statements are logically equivalent. Let's analyse each statement to identify any equivalences.
Information Booster:
- A. No, soaps are writing-tools: This statement implies that soaps and writing-tools are mutually exclusive.
- B. All soaps are non-writing tools: This statement is equivalent to A, as it also implies that soaps are not writing-tools.
- C. No non-writing-tools are soaps: This statement is not equivalent to A or B. It implies that all soaps must be writing-tools, which contradicts A and B.
- D. No writing-tools are soaps: This statement is equivalent to A, as it also implies that writing-tools and soaps are mutually exclusive.
Additional Knowledge:
Logically equivalent statements convey the same meaning, even if they are worded differently. In this case, statements A and D are logically equivalent, as they both imply that soaps and writing-tools do not overlap. Statement B is also logically equivalent to A and D, as it conveys the same meaning differently.
The logically equivalent statements are:
- A. No soaps are writing-tools
- B. All soaps are non-writing-tools
- D. No writing-tools are soaps
These three statements convey the same meaning and are logically equivalent.