Texas A&M University (TAMU) MATH 367 Structure of Mathematics III Test 1 Practice

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What is the negation of the statement 'Some days are not sunny'?

Some days are sunny.

All days are sunny.

The negation of an existential claim flips to a universal one with the predicate negated. Here, the statement says there exists a day that is not sunny. Its negation is: there does not exist any day that is not sunny. That means every day is sunny. In other words, all days are sunny. So the best match is the statement that all days are sunny.

No days are sunny.

Some days are not sunny.

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