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7) The equivalent satement of \( ( p \wedge q ) \vee(\sim p \wedge q ) \vee(\sim q \wedge r ) \) a) \( q \vee r \) b) \( (p \wedge q) \) c) \( ( p \vee r ) \) d) \( p \vee q \)

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in Mathematical reasoning by (25 points)
7) The equivalent satement of \( ( p \wedge q ) \vee(\sim p \wedge q ) \vee(\sim q \wedge r ) \) a) \( q \vee r \) b) \( (p \wedge q) \) c) \( ( p \vee r ) \) d) \( p \vee q \)
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 p q r  p ∧ q  ∼ p ∧ q  ( ∼ q ∧ r ) ( p ∧ q ) ∨ ( ∼ p ∧ q ) ∨ ( ∼ q ∧ r )
F F F F F F F
F F T F F T T
F T F F T F T
F T T F T F T
T F F F F F F
T F T F F T T
T T F T F F T
T T T T F F T

 q ∨ r  is the right answer.

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