Construct a truth table for the given statement.
\[
\sim p \rightarrow q
\]
Fill in the truth table.

Answer

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Answer

Determine the result of \(\sim p \rightarrow q\) for each combination of \((\sim p, q)\) values: \((\sim p \rightarrow q) = (T, T, T, F)\)

Steps

Step 1 ：Enumerate the possible values of \(p\) and \(q\): \((p, q) = (T, T), (T, F), (F, T), (F, F)\)

Step 2 ：Calculate the values of \(\sim p\): \((\sim p)=(F, F, T, T)\)

Step 3 ：Determine the result of \(\sim p \rightarrow q\) for each combination of \((\sim p, q)\) values: \((\sim p \rightarrow q) = (T, T, T, F)\)