("5>6" A"1+1=3") V"7>5" O True O False
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Question
![### Logical Expression Evaluation
**Expression:**
\[(“5>6” \wedge “1+1=3”) \vee “7>5”\]
**Options:**
- ○ True
- ○ False
**Explanation:**
The expression is a logical statement using conjunction (\(\wedge\)) and disjunction (\(\vee\)) operations:
- **Conjunction (\(\wedge\)):** This operator means "and". Both conditions must be true for the result to be true.
- \("5>6"\) is false.
- \("1+1=3"\) is false.
- Therefore, \("5>6" \wedge "1+1=3"\) is false.
- **Disjunction (\(\vee\)):** This operator means "or". One of the conditions must be true for the result to be true.
- \("7>5"\) is true.
- Therefore, the whole expression \((“5>6” \wedge “1+1=3”) \vee “7>5”\) is true because one part of the disjunction is true.
**Correct Answer:**
- ○ True](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff4a5d476-fa3e-48a1-88f5-ec954230f216%2F0d951ab5-565e-4597-8d7e-02e6f562fa9e%2Fs8fj6n9_processed.png&w=3840&q=75)
Transcribed Image Text:### Logical Expression Evaluation
**Expression:**
\[(“5>6” \wedge “1+1=3”) \vee “7>5”\]
**Options:**
- ○ True
- ○ False
**Explanation:**
The expression is a logical statement using conjunction (\(\wedge\)) and disjunction (\(\vee\)) operations:
- **Conjunction (\(\wedge\)):** This operator means "and". Both conditions must be true for the result to be true.
- \("5>6"\) is false.
- \("1+1=3"\) is false.
- Therefore, \("5>6" \wedge "1+1=3"\) is false.
- **Disjunction (\(\vee\)):** This operator means "or". One of the conditions must be true for the result to be true.
- \("7>5"\) is true.
- Therefore, the whole expression \((“5>6” \wedge “1+1=3”) \vee “7>5”\) is true because one part of the disjunction is true.
**Correct Answer:**
- ○ True
Expert Solution

Answer
Option A
True
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