High School

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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.")

Quantified statement: All math tests are fun.

a. Which of the following expresses the quantified statement in an equivalent way?

A. Not all math tests are fun.
B. At least one math test is fun.
C. There are no math tests that are not fun.
D. All math tests are not fun.

Answer :

Final answer:

The equivalent expression for "All math tests are fun" is "There are no math tests that are not fun." The negation is "Not all math tests are fun." Both statements maintain the core meaning of the original claim while expressing variations.


Explanation:

Equivalent Expression and Negation of the Quantified Statement

The statement "All math tests are fun" is a universally quantified statement. To express this in an equivalent way, we can say: "There are no math tests that are not fun." This means that every math test falls into the category of being fun, thereby preserving the original meaning.

Negation of the Statement

The negation of this statement changes our understanding. Instead of claiming that every math test is fun, the negation would be: "Not all math tests are fun." This indicates that at least one math test could be considered not fun, which contradicts the original claim.

In summary, the equivalent expression is "There are no math tests that are not fun" and the negation is "Not all math tests are fun."


Learn more about Quantified Statements here:

https://brainly.com/question/32689236


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