Ward Mann
12/25/2023 · Primary School
Which of the following is the negation of the proposition? \[ p \wedge \neg \wedge q \] \[ \neg p \wedge \neg q \] \( \bigcirc \neg p \vee \neg q \) \( p p \vee \neg q \)
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The negation of a proposition is the statement that is opposite in meaning to the original proposition.
Given proposition: \( p \wedge \neg q \)
To find the negation of this proposition, we need to negate each part of the proposition individually and then combine them using logical operators.
Negating \( p \) gives us \( \neg p \).
Negating \( \neg q \) gives us \( q \).
Therefore, the negation of the proposition \( p \wedge \neg q \) is \( \neg p \vee q \).
So, the correct negation of the proposition is \( \neg p \vee q \).
Quick Answer
The negation of \( p \wedge \neg q \) is \( \neg p \vee q \).
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