Which of the following statements is a tautology?

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

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Similar Questions

Consider the statement patterns:
$A$. $(q \to p) \lor (p \to q)$
$B$. $(\sim p \lor \sim q) \leftrightarrow \sim (p \land q)$
$C$. $[(p \lor q) \land \sim p] \land \sim q$
$D$. $(p \land q) \land (\sim p \lor \sim q)$
Which of the following is true?

Write the contrapositive and converse of the following statement:
If two lines are parallel,then they do not intersect in the same plane.

If the truth value of the logical statement $(p \leftrightarrow \sim q) \rightarrow (\sim p \wedge q)$ is false,then the truth values of $p$ and $q$ are respectively:

Let $p, q, r$ be three statements,then $[p$ $\rightarrow (q$ $\rightarrow r)] \leftrightarrow [(p \wedge q)$ $\rightarrow r]$ is

The statement pattern $[(p \land q) \to (\sim p \lor r)] \lor [(\sim p \lor r) \to (p \land q)]$ is

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