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Premises: All teachers are smart. All nice people are smart. Conclusion: Some nice people are teachers.

1 Answer

6 votes

Answer:

The conclusion is invalid.

The required diagram is shown below:

Explanation:

Consider the provided statement.

Premises: All teachers are smart. All nice people are smart.

Conclusion: Some nice people are teachers.

It is given that All teachers are smart that means all teacher are the subset of smart.

It is given that All nice people are smart that means all nice people are the subset of smart.

From the premises we don't know whether teacher and nice people intersect.

Therefore, the conclusion is invalid.

The required diagram is shown below:

Premises: All teachers are smart. All nice people are smart. Conclusion: Some nice-example-1
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