Problem: The negation of the proposition "For real values of and , if , then " is:
Answer Choices:
A. If , then
B. If , then
C. If , then
D. If , then
E. If , then
Solution:
To negate the proposition " ", where and themselves are propositions, we form the proposition "p and not-q". In this case is the proposition " " and is the proposition "ab = 0". The negation is, therefore, " and ", corresponding to "if , then ".