Question

the best way to make inferences is to combine background knowledge with evidence, or the proof found in the details provided in the text.

Explanation:

Define the concept of inference

Using the Textual Inference knowledge point
An inference is a logical conclusion drawn from combining what you already know with what the text directly states.

Identify the missing component

The sentence states: "The best way to make inferences is to combine background knowledge with [blank], or the proof found in the details provided in the text."
The phrase "or the proof found in the details" acts as a direct definition for the missing word. In reading comprehension, proof from the text is called evidence.

Answer:

The best way to make inferences is to combine background knowledge with <blank>evidence</blank>, or the proof found in the details provided in the text.