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Statements: 1. All grasses are trees. ...

Statements: 1. All grasses are trees.
2. No tree is shrub.
Conclusions: 1. No grasses are shrubs.
2. Some shrubs are grasses.

A

only conclusion I follows,

B

only conclusion 2 follows,

C

either conclusion 1 or 2 follows,

D

neither conclusion 1 nor 2 follows,

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we will analyze the statements and conclusions step by step. ### Step 1: Understand the Statements 1. **Statement 1**: All grasses are trees. - This means that every element that is classified as grass also falls under the category of trees. 2. **Statement 2**: No tree is a shrub. - This indicates that there is no overlap between the categories of trees and shrubs; they are completely separate. ### Step 2: Visual Representation - We can represent the statements using Venn diagrams: - Draw a circle for **trees** and place another circle for **grasses** inside the tree circle (since all grasses are trees). - Draw a separate circle for **shrubs** that does not intersect with the tree circle (since no tree is a shrub). ### Step 3: Analyze the Conclusions 1. **Conclusion 1**: No grasses are shrubs. - Since all grasses are contained within the tree circle and the shrub circle does not intersect with the tree circle, it follows that grasses cannot be shrubs. Thus, this conclusion is **true**. 2. **Conclusion 2**: Some shrubs are grasses. - This conclusion suggests that there is at least one shrub that is also a grass. However, since we established that there is no relationship between trees and shrubs, and all grasses are trees, this conclusion is **false**. ### Step 4: Final Evaluation - Based on the analysis: - Conclusion 1 is true. - Conclusion 2 is false. ### Answer The correct answer is that only **Conclusion 1** follows from the statements. ---

To solve the problem, we will analyze the statements and conclusions step by step. ### Step 1: Understand the Statements 1. **Statement 1**: All grasses are trees. - This means that every element that is classified as grass also falls under the category of trees. 2. **Statement 2**: No tree is a shrub. - This indicates that there is no overlap between the categories of trees and shrubs; they are completely separate. ...
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