("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
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### 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
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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