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

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

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$p$: the switch $S_1$ is closed.
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Then the switching circuit represented by the statement $(p \wedge q) \vee (\sim p \wedge (\sim q \vee p \vee r))$ is

Write the negation of the following statement:
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If the statement pattern $(p \wedge q) \rightarrow (r \vee \sim s)$ is false,then the truth values of $p, q, r$ and $s$ are respectively:

$\sim (p \Leftrightarrow q)$ is

Write the contrapositive of the following statement:
If a number is divisible by $9,$ then it is divisible by $3.$

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