If p and q are statements,then qquad is a con | vedclass

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Question

(C) Step $1$: Identify the definitions: $A$ contradiction is always false,a tautology is always true,and a contingency can be either true or false dep

Vedclass · Accepted Answer

$p \vee q$

Vedclass · Answer

(C) Step $1$: Identify the definitions: $A$ contradiction is always false,a tautology is always true,and a contingency can be either true or false depending on the truth values of its components.Step $2$: Evaluate option $(A)$: $p \wedge \sim p$ is always false (contradiction).Step $3$: Evaluate option $(B)$: $p \vee \sim p$ is always true (tautology).Step $4$: Evaluate option $(C)$: $p \vee q$ can be true or false depending on the truth values of $p$ and $q$. For example,if $p = F$ and $q = F$,then $p \vee q = F$. If $p = T$ and $q = F$,then $p \vee q = T$. Thus,it is a contingency.Step $5$: Evaluate option $(D)$: $(p \wedge (p$ $\rightarrow q))$ $\rightarrow q$ is a tautology (Modus Ponens).Final Answer: $C$)

If $p$ and $q$ are statements,then $\qquad$ is a contingency.

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