SOLUTION: I realyy thank you guys for helping me on this problem I need to understand what is happening please help. thank you 1.Use Euler Diagrams to determine whether the following s

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Question 199070: I realyy thank you guys for helping me on this problem I need to understand what is happening please help. thank you

1.Use Euler Diagrams to determine whether the following syllogism is valid or invalid.
All golfers have golf carts.
All members of the A club have golf carts.
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 All members of the A club are golfers
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
First, draw a large circle to denote the set of all people who possess golf carts

Inside this large circle, draw two smaller circles (that are completely inside this larger circle). Make sure that they overlap. Why? Well there is a possibility that SOME golfers are members of club A (or vice versa). However, we cannot be 100% certain that all golfers are members (or vice versa) and we cannot be certain that no golfer is a member of club A. So this covers all of the possible options.

Note: if we knew for certain that all members of club A are golfers, then we would draw the set of golfers inside the set of club A members.

So the drawing looks like this:



Since we CANNOT be 100% whether all golfers are members of club A, this means that the following syllogism is invalid. In other words, we cannot logically deduce the conclusion given the following premises.