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Express the quantified statement in an equivalent way, that is, in a way that has exactly the same meaning. Write the negation of the quantified statement. (The negation should begin with "all," "some," or "no.")

Original statement: No bushes are silver.

Which of the following expresses the quantified statement in an equivalent way?
A. At least one bush is silver.
B. Not all bushes are silver.
C. All bushes are not silver.
D. There are no bushes that are not silver.

Which of the following is the negation of the quantified statement?

Answer :

Final answer:

The statement 'No bushes are silver' can be equivalently expressed as 'All bushes are not silver.' The negation of this statement is 'Some bushes are silver.'


Explanation:

Understanding the Quantified Statement

The statement "No bushes are silver" can be expressed equivalently as: All bushes are not silver. This aligns with option C: All bushes are not silver. This phrasing retains the meaning of the original statement as it indicates that there are no bushes that possess the quality of being silver.

Identifying the Negation

The negation of the original statement, which requires stating that there exists at least one exception to the rule, can be articulated as: Some bushes are silver. This means that at least one bush is indeed silver, contrasting the original claim.


Learn more about Quantified Statements here:

https://brainly.com/question/32689236


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