Is this syllogism?

1. In-line skaters live dangerously.
2.if you live dangerously, then you like to dance.
3, If you are an in-line skater, then you like to dance.

Yes, this is an example of a syllogism. A syllogism is a logical argument consisting of two premises and a conclusion. In this case:

Premise 1: In-line skaters live dangerously.
Premise 2: If you live dangerously, then you like to dance.

Conclusion: If you are an in-line skater, then you like to dance.

To determine the validity of this syllogism, we can examine the logical structure of the argument. If the premises are true and the conclusion logically follows from the premises, then it is a valid syllogism. However, if the premises are true but the conclusion does not logically follow, then it is considered invalid.

So, in order to evaluate the validity of this particular syllogism, we can assess the logical connection between the premises and the conclusion. Based on the information given, premise 1 and premise 2 are both true, and the conclusion logically follows from them. Therefore, this syllogism is considered valid.