The answer is choice D
The law of syllogism is: if p--> q and q--> r, then p--> r
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Consider three towns: P, Q, R
Let's say we start at town P.
If we go to town Q, then we can use the notation P --> Q
The notation Q --> R tells us we move from town Q to town R
Overall, we started with P and end ultimately with R
Therefore, P --> R
Another way to think of the law of syllogism is to think of a sequence of chain events. The links of the chain combine together.
Example:
p = it rains
q = it gets wet
r = there's a high chance of an accident on the road
So,
p --> q becomes "if it rains, then it gets wet"
q --> r becomes "if it gets wet, there's a chance of an accident on the road"
p --> r becomes "if it rains, then there's a chance of an accident on the road"