The statement $(p \wedge q) \to (p \vee q)$ is

  • A
    a contradiction
  • B
    a tautology
  • C
    neither a tautology nor a contradiction
  • D
    cannot be determined

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Similar Questions

Let $p$ and $q$ stand for the statements "$2 \times 4 = 8$" and "$4$ divides $7$" respectively. Then the truth values of the following biconditional statements are:
$(i)$ $p \leftrightarrow q$
$(ii)$ $\sim p \leftrightarrow q$
$(iii)$ $\sim q \leftrightarrow p$
$(iv)$ $\sim p \leftrightarrow \sim q$

$(p \wedge r) \Leftrightarrow (p \wedge (\sim q))$ is equivalent to $(\sim p)$ when $r$ is.

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

Determine which of the following is not a statement.

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

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