Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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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"
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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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