6) Which equivalence is illustrated in the statement below
\[
\sim(c \vee \sim k) \Leftrightarrow(\sim c \wedge k)
\]
a. DeMorgan's Equivalence
b. The Associative Equivalence
c. The Double Negation Equivalence
d. None of the Choices
Solution
Step 1 :Identify the equivalence in the given statement: \(\sim(c \vee \sim k) \Leftrightarrow (\sim c \wedge k)\)
Step 2 :Compare the statement to known logical equivalences
Step 3 :Final Answer: \(\boxed{\text{d. None of the Choices}}\)