The truth table for p $\land$ ~q $\rightarrow$ r:
Work Step by Step
First fill in the eight possible combinations of truth values for p,q, and r. Then fill in the column for ~q. Then fill in the column for p $\land$ ~q using the definition of logical and. Lastly, evaluate the if/then statement. When the if element is T and then element is F, the statement is F. In all other cases the statement is T.