p = F, q = T, and r = T. Select the expression that evaluates to true. O-(qvr) O (-par)vq O (-qvr)^p Opv-qv-r

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Discrete mathematics
The image presents a logical reasoning question. The values for the propositions are given as follows: \( p = \text{False (F)} \), \( q = \text{True (T)} \), and \( r = \text{True (T)} \).

The task is to select the expression that evaluates to true from the following options:

1. \( \neg(q \vee r) \)
2. \( (\neg p \land r) \vee q \)
3. \( (\neg q \vee r) \land p \)
4. \( p \vee \neg q \vee \neg r \)

The question is asking for which expression, given these truth values, results in a true statement.
Transcribed Image Text:The image presents a logical reasoning question. The values for the propositions are given as follows: \( p = \text{False (F)} \), \( q = \text{True (T)} \), and \( r = \text{True (T)} \). The task is to select the expression that evaluates to true from the following options: 1. \( \neg(q \vee r) \) 2. \( (\neg p \land r) \vee q \) 3. \( (\neg q \vee r) \land p \) 4. \( p \vee \neg q \vee \neg r \) The question is asking for which expression, given these truth values, results in a true statement.
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