"If the Dog Is Sleeping, You Don't Want to Wake $\rightarrow$

Multiple Choice

"If the dog is sleeping, you don't want to wake him up. The dog will start barking if you wake him. So, if the dog isn't sleeping, then he is barking." Choose the best symbolization of the statement and evaluate its validity.

A) s $\rightarrow$ ~ w, w $\rightarrow$ b, ~ s $\rightarrow$ b; this argument is invalid
B) s $\rightarrow$ ~ w, b $\rightarrow$ w, 11eea193_6ab9_0a3b_aa9a_9515a3fcf1d3_TBMG1027_11 ~ s $\rightarrow$ b; this argument is valid
C) None of the answers are correct
D) s $\rightarrow$ ~ w, b $\rightarrow$ w, 11eea193_6ab9_0a3b_aa9a_9515a3fcf1d3_TBMG1027_11 ~ s $\rightarrow$ b; this argument is invalid
E) s $\rightarrow$ ~ w, w $\rightarrow$ b, 11eea193_6ab9_0a3b_aa9a_9515a3fcf1d3_TBMG1027_11 ~ s $\rightarrow$ b; this argument is valid