Problem: Given the true statements:
(1) If a is greater than , then is greater than
(2) If is less than , then is greater than .
A valid conclusion is:
Answer Choices:
A. If a is less than , then is greater than
B. If is greater than , then a is less than
C. If is less than , then is greater than
D. If is greater than , then is less than
E. none of these
Solution:
Let be the proposition " is greater than "
Let be the proposition " is greater than "
Let be the proposition " is greater than "
From the given and
From the Rule of the Contrapositive and .
Therefore, are not valid conclusions