The statement pattern $(p \vee q) \to \sim r$ is logically equivalent to

  • A
    $(\sim p \vee \sim q) \vee \sim r$
  • B
    $(\sim p \wedge \sim q) \wedge \sim r$
  • C
    $(\sim p \wedge \sim q) \vee \sim r$
  • D
    $(\sim p \vee \sim q) \wedge \sim r$

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Similar Questions

Write the contrapositive and converse of the following statement:
"You cannot comprehend geometry if you do not know how to reason deductively."

If $(p \wedge \sim r) \rightarrow (\sim p \vee q)$ has truth value $F$,then the truth values of $p, q,$ and $r$ are respectively:

Consider the following statements:
$p$: If voltage increases, then current decreases.
$q$: If voltage does not increase, then current does not decrease.
$r$: If current decreases, then voltage increases.
$s$: If current does not decrease, then voltage does not increase.
Which of the following pairs of statements have the same meaning?

If $p, q$ and $r$ are three propositions,then which of the following combination of truth values of $p, q$ and $r$ makes the logical expression $\{(p \vee q) \wedge ((\sim p) \vee r)\} \rightarrow ((\sim q) \vee r)$ false?

The negation of the statement $(p \wedge q) \rightarrow (\sim p \vee r)$ is

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