Question
Download Solution PDFConsider the statements below:
“There is a country that borders both India and Nepal.”
Which of the following represents the above sentence correctly?Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFc- It represents country
∃c – it means there exists a country
Border(c, India) – it means border between India and c
Border(c, Nepal) – it means border between Nepal and c
Variables are two: India and Nepal
Given statement: “There is a country that borders both India and Nepal.”
AND is true only when Border(c, India) and Border(c, Nepal) is 1.
Country must have border with both India and Nepal. So, and operation supports it.
AND is denoted by ∧ in proposition logic.
Correct option is:
∃c Country(c) ∧ Border(c, India) ∧ Border(c, Nepal)
It means there exists a country c and it borders both India and Nepal.Last updated on Jul 6, 2025
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