Select the proposition that is logically equivalent to p↔q. O (pvq)^(-pv-q) (p^q)v(-p^-q) O (p→q)v(q-p) O (-p-q)^(-q-p)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Discrete mathematics
**Logical Equivalence Question**

Select the proposition that is logically equivalent to \( p \leftrightarrow q \):

- \( (\lnot p \lor q) \land (p \lor \lnot q) \)
- \( (p \lor q) \land (\lnot p \lor \lnot q) \)
- \( ( \lnot q \lor p) \land (q \lor \lnot p) \) (Selected)
- \( (p \land q) \lor (\lnot p \land \lnot q) \)
Transcribed Image Text:**Logical Equivalence Question** Select the proposition that is logically equivalent to \( p \leftrightarrow q \): - \( (\lnot p \lor q) \land (p \lor \lnot q) \) - \( (p \lor q) \land (\lnot p \lor \lnot q) \) - \( ( \lnot q \lor p) \land (q \lor \lnot p) \) (Selected) - \( (p \land q) \lor (\lnot p \land \lnot q) \)
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