Construct and complete a truth table with the following headings: \(p\) \(q\) \(p\rightarrow q\) \(p\wedge (p\rightarrow q)\) \(\left( p\wedge \left( p\rightarrow q\right)\right) \rightarrow q\) construct and complete a truth table in order to determine if the following statements are logically equivalent: \(p\rightarrow q\) and \({\sim} q\rightarrow{\sim} p\) explain if the statement \(\left(p\wedge\left(p\rightarrow q\right)\right)\rightarrow q\) is a tautology or not. explain if the statements \(p\rightarrow q\) and \({\sim} q\rightarrow{\sim} p\) are logically equivalent or not.