Are there any other prepositions to use with the verb inspire other than "from" and "by"?
He also inspired me ______ how important the teachers are to their students.
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There are other prepositions that can be used with the verb "inspire" but each means a slightly different thing, and none work with the second half of this sentence.
He inspired me by [doing something inspirational].
He inspired me with [his inspirational behavior/messages].
He inspired me through [his inspirational messages/behavior].
He inspired me to [also do that inspirational thing].
Outside of a more elaborate sentence structure, these four prepositions are going to be your typical options. None of these quite fits for "...how important teachers are to their students."
You can keep the structure the same by using a different verb. There are plenty of different words that fit grammatically, but each has a slightly different implication about the way he gave this information to you. Here are a few options:
He showed me how important the teachers are to their students.
He taught me how important the teachers are to their students.
He demonstrated to me how important the teachers are to their students.
If you prefer to keep the verb "inspire" then we can instead add a few more words.
He inspired me with his belief of how important the teachers are to their students.