Let the scenario 'If the vehicle is powered ON and if power is available to…
2025
Let the scenario 'If the vehicle is powered ON and if power is available to the avionics package, then communication to the vehicle will be established' be represented with statements
p = power is available to avionics package;
q = vehicle is powered ON;
r = communication to the vehicle will be established
- D.
none of these
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Show answer & explanation
The scenario translates to the implication $(p \wedge q) \rightarrow r$. By the definition of material implication, $A \rightarrow B$ is equivalent to $\neg A \vee B$. Applying this rule gives $\neg(p \wedge q) \vee r$.
Next, apply De Morgan's Law to the negated conjunction: $\neg(p \wedge q)$ is equivalent to $(\neg p \vee \neg q)$. Substituting this back into the expression yields the final equivalent form: $\neg p \vee \neg q \vee r$.