To create our truth table for ~ (p→ ~ q), we first have to negate q. The truth value of a negation is the opposite of the truth value of the original statement.
q
~ q
T
F
F
T
T
F
F
T
Note that a conditional statement is only false when a true hypothesis produces a false conclusion. Also, to get ~(p→ ~ q) means negating the truth value of p→ ~ q. With this, we can create our truth table.
