n conclusion follows from the two given statements? Statement: If wind knocks down the tree, we will lose power. Statement: We did not lose power. The wind knocked down the tree. My neighbor lost power. I hate the wind. The wind did not knock down the tree.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Which conclusion follows from the 2 given statements ?
### Logical Reasoning Problem

**Question:**
Which conclusion follows from the two given statements?

**Given Statements:**
1. If wind knocks down the tree, we will lose power.
2. We did not lose power.

**Possible Statements:**
- The wind knocked down the tree.
- My neighbor lost power.
- I hate the wind.
- The wind did not knock down the tree.

### Analysis:
Based on the given statements, we need to determine the logical conclusion that follows.

- Statement 1: If the wind knocks down the tree, we will lose power.
- Statement 2: We did not lose power.

Given these statements, if we did not lose power, then according to the first statement, it means the wind did not knock down the tree. Therefore, the logical conclusion is:

**Conclusion:**
- The wind did not knock down the tree.

### Key Points:
- The conclusion is drawn based on the logical implication provided in the given statements.
- Understanding logical deductions is essential in problem-solving.

**Note:** The other statements mentioned are irrelevant to the logical deduction derived from the given statements and do not provide any useful information for concluding.
Transcribed Image Text:### Logical Reasoning Problem **Question:** Which conclusion follows from the two given statements? **Given Statements:** 1. If wind knocks down the tree, we will lose power. 2. We did not lose power. **Possible Statements:** - The wind knocked down the tree. - My neighbor lost power. - I hate the wind. - The wind did not knock down the tree. ### Analysis: Based on the given statements, we need to determine the logical conclusion that follows. - Statement 1: If the wind knocks down the tree, we will lose power. - Statement 2: We did not lose power. Given these statements, if we did not lose power, then according to the first statement, it means the wind did not knock down the tree. Therefore, the logical conclusion is: **Conclusion:** - The wind did not knock down the tree. ### Key Points: - The conclusion is drawn based on the logical implication provided in the given statements. - Understanding logical deductions is essential in problem-solving. **Note:** The other statements mentioned are irrelevant to the logical deduction derived from the given statements and do not provide any useful information for concluding.
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