What is the contrapositive of the following: "If I form a study group then I raise my grades." A. If I work alone then I lower my grades. B. If I raise my grades then I form a study group. C. If I lower my grades then I work alone D. If I form a study group then I lower my grades. E. If I form a study group then I raise my grades. F. If I raise my grades then I work alone.

Answer:C. If I lower my grades then I work aloneStep-by-step explanation:In logic, the contrapositive of a conditional statement, [tex]P\to Q[/tex] is [tex]\neg Q\to \neg P[/tex].In other words, the contrapositive of "If P then Q" is "If not Q, then not P". The given conditional statement is: "If I form a study group then I raise my grades."We can break this conditional statement into the following propositional statements:P : I form a study group¬P : I work aloneQ : I raise my grades¬Q : I lower my gradesThe contrapositive of  "If I form a study group then I raise my grades." becomes:" If I lower my grades then I work alone"The correct choice is C