Strong evidence in support of an inference includes many things. Some things that can support inferences include:
- Providing specific detail in the evidence of what happened or what you think will happen
- Give examples of why you inferred what you did
- Provide why you think such inferences, and why others wouldn’t work
- Show what would happen if something went another way besides your inference, and why your thoughts are the most important
Hope that helped a bit. :)