Question: Given that proposition \(p\) is true, proposition \(q\) is false and proposition \(r\) is true, determine whether each of the following propositions are true or false.

1. \((p \wedge q) \vee r\)
2. \((q\vee \neg p)\to \neg \gamma \)
3. \(\neg (p\wedge q)\vee (\neg p\wedge \neg x)\)
4. \(p \vee(q \rightarrow r) \vee(\neg r \rightarrow p)\)
5. \((p \wedge q) \vee(q \wedge r)\)

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