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Question 67

The negation of the expression $$q \vee ((\sim q) \wedge p)$$ is equivalent to

Solution

$$E = q \lor ((\sim q) \land p)$$

$$E \equiv (q \lor \sim q) \land (q \lor p)$$

$$E \equiv T \land (q \lor p) \equiv q \lor p$$

$$\sim E \equiv \sim (q \lor p)$$

$$\sim E \equiv (\sim q) \land (\sim p) \equiv (\sim p) \land (\sim q)$$

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