Logic Truth Table: Answers Checked

Hotsuma
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Dear All,

Having trouble with a seemingly simple logic truth table. Are these answers correct?

\begin{tabular}{| c | c | c | c | c | c |}<br /> \hline<br /> p &amp; q &amp; r &amp; (p \vee q)\wedge(q \vee r) &amp; (\neg p \wedge q) \vee ( p \wedge \neg r) &amp; p \rightarrow q \rightarrow r\\<br /> \hline<br /> T &amp; T &amp; T &amp; T &amp; F &amp; T \\<br /> T &amp; T &amp; F &amp; T &amp; T &amp; F \\<br /> T &amp; F &amp; T &amp; T &amp; F &amp; T \\<br /> T &amp; F &amp; F &amp; F &amp; T &amp; F \\<br /> F &amp; T &amp; T &amp; T &amp; T &amp; T \\<br /> F &amp; T &amp; F &amp; T &amp; T &amp; F \\<br /> F &amp; F &amp; T &amp; F &amp; F &amp; T \\<br /> F &amp; F &amp; F &amp; F &amp; F &amp; T \\<br /> \hline<br /> \end{tabular}
 
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