I have struggled with translating biconditionals, so I have been drilling this skill using Manhattan Prep's "5lbs. Book of LSAT Practice Drills." Basically, you're given a conditional and asked to translate it. So far I have been getting them correct or have been able to identify where I went wrong. However, there's one particular part of the drill that I am stuck on, and was hoping someone could help me figure it out.
The statement reads, "If the trip includes Burkin Faso, it will include either Mali or Ghana, but not both."
My train of thought:
-"if" is Gl, sufficient
-"either or, but not both" is a biconditional indicator
BF- (----) M or G
/M and /G (-----) /BF
However, the answer key in the book says that the correct translation is:
BF------>M or G
M and G------>/B
/M and /G ------>/B
Why would this statement not be considered a biconditional? And why are there three possible answers?
Thanks in advance!