Trying to determine if the reasoning in the stimulus is valid, but in order to finalize my determination, I have a question:
After diagramming the stimulus, the contrapositives of the two premises — can they be combined into one conditional to yield a conditional that matches the conclusion?
If I can combine these contrapositives of the premises, would that conditional match the conclusion conditional?
Once I can determine the reasoning of the argument, I match to the correct AC
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2 comments
If I am understanding your question correctly, then yes, I think you can combine the conditionals!
This is how I diagrammed it:
if new → more than 18k
if /more than 18k → /new
if 18k or less → used (or not new)
if 10 or more yrs → less than 5k
/less than 5k → /10 or more yrs
5k or more → less than 10 yrs
-----------------------------
if between 5 and 18k → used and less than 10 yrs
if [5k or more] AND [18k or less] → used AND less than 10 years (neither new nor 10 or more years)
I may be wrong, but I think the reason why we can combine them here is because we can assume that any new car is NOT 10 or more yrs, given that it cannot both be true that a given car is more than 18k AND less than 5k at the same time. Hope this helps!
@haena yes very helpful, thank you so much!