its symbone Tom. 6) If this is not a herring, then this is not a fish. given that the statements p and q are as indicated p: This is a herring. q: This is a fish. a)-p-q b)-9--P 2 -p-q d) p-q
its symbone Tom. 6) If this is not a herring, then this is not a fish. given that the statements p and q are as indicated p: This is a herring. q: This is a fish. a)-p-q b)-9--P 2 -p-q d) p-q
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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Question

Transcribed Image Text:**Logical Statements and Symbolic Form**
Given that \( p \) and \( q \) each represent a simple statement, write the indicated compound statement in its symbolic form.
- **Statements:**
- \( p \): This is a herring.
- \( q \): This is a fish.
- **Compound Statements:**
a) If this is not a herring, then this is not a fish.
Symbolic form: \(\neg p \rightarrow \neg q\)
b) \( q \leftrightarrow \neg p \)
c) \( p \lor \neg q \)
d) \( p \land q \)
- **Explanation for Diagrams:**
A logic diagram often involves symbols like:
- \(\neg\): Not
- \(\rightarrow\): Implies
- \(\leftrightarrow\): If and only if
- \(\lor\): Or
- \(\land\): And
These symbols are used to create and interpret complex logical statements from basic propositions.
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