Determine which, if any, of the three statements are equivalent. Give a reason for your conclusion. Show complete work and submit your solution to the Dropbox.

I) Gasoline costs $1.99 per gallon if and only if you live in Orange County.
II) You do not live in Orange County and gasoline does not cost $1.99 per gallon.
III) If you do not live in Orange County then gasoline does not cost $1.99 per gallon

Question

Determine which, if any, of the three statements are equivalent. Give a reason for your conclusion. Show complete work and submit your solution to the Dropbox.

I) Gasoline costs $1.99 per gallon if and only if you live in Orange County.
II) You do not live in Orange County and gasoline does not cost $1.99 per gallon.
III) If you do not live in Orange County then gasoline does not cost $1.99 per gallon

anonymous · Answer

thank you but i need to show work and reason for it.
thats where i was having a problem

anonymous · Answer

i will say III only i think

anonymous · Answer

why would you think only 3

anonymous · Answer

the statement 

You do not live in Orange County and gasoline does not cost $1.99 per gallon. 

does not say anything about what might happen if you lived in orange county

anonymous · Answer

they need to see complete work and reasoning and i don;t know what they want to see

anonymous · Answer

oh ok but how would you show work on that? It is just using your mind

anonymous · Answer

excuses me i read the problem wrong.  sorry.

anonymous · Answer

oh ok

anonymous · Answer

i am happy now with 2 and 3 being the same

anonymous · Answer

okay but how would you show work on that