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

Question

Quizplus · Accepted Answer

The two statements are contradictory because they cannot both be true at the same time. The first statement asserts that either N is true, or both E and not H are true. The second statement asserts that either both H and not N are true, or neither E nor N is true. These conditions cannot be satisfied simultaneously, making the statements contradictory.

Given the Pair of Statements: N ∨ (E • ∼