22. Let p, q, andr represent the following simple statements. p: The temperature is below 30°. q. We finished eating. r. We go to the slope. Write the symbolic statement (raq)p in words. If the symbolic statement is given without parentheses, statements before and after the most dominant connective should be grouped. Translate into English. Choose the correct sentence below. A. If we go to the slope or we have finished eating, then the temperature is below 30°. B. If we go to the slope, then we have finished eating and the temperature is below 30°. O. If we finished eating and the temperature is not below 30°, then we will not go to the slope. D. If we go to the slope and we have finished eating, then the temperature is below 30°.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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**Symbolic Logic Translation and Interpretation**

---

**Given Statements:**

- **p**: The temperature is below 30°.
- **q**: We finished eating.
- **r**: We go to the slope.

**Task:**

Write the symbolic statement \((r \land q) \rightarrow p\) in words. If the symbolic statement is presented without parentheses, notes indicate that statements before and after the most dominant connective should be grouped. Translate into English.

**Options:**

A. If we go to the slope or we have finished eating, then the temperature is below 30°.

B. If we go to the slope, then we have finished eating and the temperature is below 30°.

C. If we finished eating and the temperature is not below 30°, then we will not go to the slope.

D. If we go to the slope and have finished eating, then the temperature is below 30°. 

---

Correct interpretation requires identifying the connective’s dominance and translating it accurately into an English sentence.
Transcribed Image Text:**Symbolic Logic Translation and Interpretation** --- **Given Statements:** - **p**: The temperature is below 30°. - **q**: We finished eating. - **r**: We go to the slope. **Task:** Write the symbolic statement \((r \land q) \rightarrow p\) in words. If the symbolic statement is presented without parentheses, notes indicate that statements before and after the most dominant connective should be grouped. Translate into English. **Options:** A. If we go to the slope or we have finished eating, then the temperature is below 30°. B. If we go to the slope, then we have finished eating and the temperature is below 30°. C. If we finished eating and the temperature is not below 30°, then we will not go to the slope. D. If we go to the slope and have finished eating, then the temperature is below 30°. --- Correct interpretation requires identifying the connective’s dominance and translating it accurately into an English sentence.
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