An example of inference is a scientist guessing at the result of an experiment using things he's already learned.
The inference was insulting.
The teacher asked the students to draw an inference based on the clues given in the storybook.
The pre-existence of souls is another inference from the immutability of God.
This is, however, very doubtful, and an entirely different inference is possible.
Skylar made an inference about what was in the wrapped box under the Christmas tree after picking it up to feel the weight.