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

Question

Quizplus · Accepted Answer

The symbol • represents the logical operator for conjunction (and). Therefore, the two statements can be rewritten as “C and not L” and “L and not C.” These statements are contradictory, as they cannot both be true at the same time. If C is true, then L must be false for the first statement to be true. But if L is true, then C must be false for the second statement to be true. Therefore, the two statements are inconsistent, and the correct answer is B.

Given the Pair of Statements: C • ∼ L and L