There are truth table constructors on line if you google.
But, start building your table with p, q,r:
The ~ means 'NOT'. The opposite of p, q, or r.
The /\ means AND. It's true if they're both true.
The => means IMPLIES or THEN. Its false when the first one is true and the second one false.
\(\displaystyle \begin{vmatrix} p&q&r&\sim q&\sim r&p\wedge \sim r& \sim q=>(p\wedge \sim r)\\T&T&T&F&F&F&T\\T&T&F&F&T&T&T\\T&F&T&T&F&F&F\\T&F&F&T&T&T&T\\F&T&T&F&F&F&T\\F&T&F&F&T&F&T\\F&F&T&T&F&F&F\\F&F&F&T&T&F&F\end{vmatrix}\)
Add all the separate parts of the statement to build your table. Start from the inside out. Like with algebra.
There is lots on line about these. Google truth tables and logic.
