Originally Posted by

**Soroban** Hello, malia!

I can't give you a review on truth tables,

. . but this is what you should have . . .

$\displaystyle \begin{array}{c|c|c|c|c|c|c|c|c|c|c}

p & q & r & (p & \vee & \sim r) & \wedge & \sim & (q & \vee & r) \\ \hline

T & T & T & T & T & F & {\color{blue}F} & F & T & T & T \\

T & T & F & T & T & T & {\color{blue}F} & F & T & T & F \\

T & F & T & T & T & F & {\color{blue}F} & F & F & T & T \\

T & F & F & T & T & T & {\color{blue}T} & T & F & F & F \end{array}$

.$\displaystyle \begin{array}{c|c|c|c|c|c|c|c|c|c|c}

F & T & T & F & F & F & {\color{blue}F} & F & T & T & T \\

F & T & F & F\, & T & \;\;T\:\; & {\color{blue}F} & F & T \,& T \,& F \\

F & F & T & F & F & F & {\color{blue}F} & F & F & T & T \\

F & F & F & F & T & T & {\color{blue}T} & T & F & F & F \\

& & & ^1 & ^2 & ^1 & ^4 & ^3 & ^1 & ^2 & ^1

\end{array}$