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Construct a truth table for each of these compound propositions.

  1. $p \rightarrow (\neg q \vee r)$
  2. $\neg p \rightarrow (q \rightarrow r)$
  3. $(p \rightarrow q) \vee (\neg p \rightarrow r)$
  4. $(p \rightarrow q) \wedge (\neg p \rightarrow r)$
  5. $(p \leftrightarrow q) \vee (\neg q \leftrightarrow r)$
  6. $(\neg p \leftrightarrow \neg q) \leftrightarrow (q \leftrightarrow r)$
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