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Construct a truth table for each of these compound propositions.

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