Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Choose the statements below that are logically equivalent to \"If Gustave is a m

ID: 1890288 • Letter: C

Question

Choose the statements below that are logically equivalent to "If Gustave is a monkey
then Gustave can climb a tree". More than one might be right!


a. If Gustave cannot climb a tree, then Gustave is not a monkey.
b. Gustave is a monkey and Gustave can climb a tree.
c. If Gustave can climb a tree then Gustave is a monkey.
d. If Gustave is not a monkey then Gustave cannot climb a tree.
e. It's not true that both Gustave is a monkey and Gustave cannot climb a tree.

I'm pretty sure that the answer is a and e, but I need a quick verification before I get this problem wrong. Please help. Thank you.

Explanation / Answer

If Gustave cannot climb a tree, then Gustave is not a monkey.