"The air conditioner is on; however, the fan is not. So, it's cooler because if the air conditioner were on, it would be cooler." Choose the best symbolization of the statement and evaluate its validity.
A) a & ~ f, a $\rightarrow$ c, c; this argument is valid
B) a & ~ f, c, a $\rightarrow$ c; this argument is invalid
C) None of the answers are correct
D) a & ~ f, a $\rightarrow$ c, c; this argument is invalid
E) a & ~ f, c, a $\rightarrow$ c; this argument is valid

Question

"The air conditioner is on; however, the fan is not. So, it's cooler because if the air conditioner were on, it would be cooler." Choose the best symbolization of the statement and evaluate its validity.
A) a & ~ f, a $\rightarrow$ c, c; this argument is valid 
B) a & ~ f, c, a $\rightarrow$ c; this argument is invalid 
C) None of the answers are correct 
D) a & ~ f, a $\rightarrow$ c, c; this argument is invalid 
E) a & ~ f, c, a $\rightarrow$ c; this argument is valid

Quizplus · Accepted Answer

The Answer of "The air conditioner is on; however, the fan is not. So, it's cooler because if the air conditioner were on, it would be cooler." Choose the best symbolization of the statement and evaluate its validity.
A) a & ~ f, a $\rightarrow$ c, c; this argument is valid 
B) a & ~ f, c, a $\rightarrow$ c; this argument is invalid 
C) None of the answers are correct 
D) a & ~ f, a $\rightarrow$ c, c; this argument is invalid 
E) a & ~ f, c, a $\rightarrow$ c; this argument is valid

"The Air Conditioner Is On; However, the Fan Is Not →\rightarrow→

"The Air Conditioner Is On; However, the Fan Is Not $\rightarrow$