Problem 1049

Write the negation of the statement.
No math problems are difficult.
Use the following diagram to help remember the negation of qualified statements.

Notice that the given statement “No math problems are difficult” is in the form “None are.” Using the diagram, follow the arrows to see the negation of “None are.”
Since the statement “Some are” is the negation of “None are,” the negation of the given statement will be in the form “Some are.” Thus, “Some math problems are difficult” is the correct negation of the given statement.



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