Dual of a statement pattern

1. A.
   $\sim(p \to q) \wedge (q \to p)$
2. B.
   $(p \to q) \wedge \sim(q \to p)$
3. C.
   $(\sim p \to q) \wedge (q \to p)$
4. D.
   $(q \to p) \vee (\sim p \to \sim q)$

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1. A.
   $x = 1$ and $x^2 = x$
2. B.
   $x \neq 1$ or $x^2 = x$
3. C.
   $x \neq 1$ and $x^2 = x$
4. D.
   $x = 1$ or $x^2 \neq x$

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1. A.
   $p \vee (p \to \sim q)$
2. B.
   $\sim p \vee (p \to \sim q)$
3. C.
   $p \wedge (p \to \sim q)$
4. D.
   $p \wedge (\sim p \to \sim q)$

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1. A.
   tautology
2. B.
   contradiction
3. C.
   logically equivalent to $\sim p \wedge q$
4. D.
   logically equivalent to $q$

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