Answer:
C. If I lower my grades then I work alone
Step-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 alone
Q : I raise my grades
¬Q : I lower my grades
The 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
