Something to consider, the concessions are usually going to counter the conclusion.

“Premise”: Not every mammal is suitable to keep as a pet.

“Conclusion”: Tigers are very aggressive and can cause serious injuries to people.

The way I understand it:

This premise does not make the conclusion more likely to be true. In other words, tigers are NOT very aggressive and can cause serious injuries to people BECAUSE not every mammal is suitable to keep as a pet.

Hope that clears up any confusion.