Given the pair of statements: A ∨ (B • C) and (B • ∼ A) ∨ (A • ∼ C).
These statements are:
A) Logically equivalent.
B) Valid.
C) Contradictory.
D) Consistent.
E) Inconsistent.

Question

Quizplus · Accepted Answer

The two statements can both be true under some interpretations (e.g., when A is true, B is false, and C is false), which means they are consistent. They are not logically equivalent, contradictory, or necessarily valid on their own, and they are not inconsistent because there is at least one interpretation under which they can both be true.

Given the Pair of Statements: a ∨ (B • C)