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Write a symbolic statement of the given compound statement below: 4. If a polygon is not a triangle, then it does not have three sides.

Write a symbolic statement of the given compound statement below: 4. If a polygon is not a triangle, then it does not have three sides.

Advanced Engineering Mathematics
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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**Problem Statement:** Write a symbolic statement of the given compound statement below: 4. If a polygon is not a triangle, then it does not have three sides. --- **Explanation:** This task involves translating the compound statement into symbolic logic. The original statement presents a conditional relationship between two propositions: - Proposition p: A polygon is not a triangle. - Proposition q: It does not have three sides. The symbolic representation for the statement "If p, then q" is written as \( p \rightarrow q \). Thus, the compound statement "If a polygon is not a triangle, then it does not have three sides" can be symbolically represented as: \( p \rightarrow q \) Where: - \( p \) is "a polygon is not a triangle" - \( q \) is "it does not have three sides"
Transcribed Image Text:**Problem Statement:** Write a symbolic statement of the given compound statement below: 4. If a polygon is not a triangle, then it does not have three sides. --- **Explanation:** This task involves translating the compound statement into symbolic logic. The original statement presents a conditional relationship between two propositions: - Proposition p: A polygon is not a triangle. - Proposition q: It does not have three sides. The symbolic representation for the statement "If p, then q" is written as \( p \rightarrow q \). Thus, the compound statement "If a polygon is not a triangle, then it does not have three sides" can be symbolically represented as: \( p \rightarrow q \) Where: - \( p \) is "a polygon is not a triangle" - \( q \) is "it does not have three sides"
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