Problem: Which of the following is the negation of the statement: For all of a certain set,
Answer Choices:
A. For all
B. For all
C. For no
D. For some
E. For some
Solution:
To negate the statement "all members of a set have a given property" we write "some member of the set does not have the given property''. Therefore, the negation is: For some , that is, for some