Is my example a run-on sentence?

Question

Is my example a run-on?

"Assuming I have a dog and my ex-wife has a cat, both picture1 and picture2 show: (1) I am allergic to cat, (2) my ex-wife hates my dog, and (3) we're not happy."

Edit: I changed the math equation to actual sentences since it was confusing people. Note that even though I am using small/simple sentences for (1), (2), (3), my original sentences for (1), (2), and (3) are quite long.

CuriosityCalls · Answer

A run-on sentence, by definition, is: a sentence that is the result of two or more complete sentences (independent clauses) being joined without any punctuation; they are connected improperly. What is an independent clause, you ask? It's merely a phrase that when extracted from the original, larger sentence, is itself a 100% grammatically correct sentence.

Your example above is not a run-on sentence because you're employing all the proper and necessary punctuation to construct your sentence. You're adding commas, colons, and a full stop. If you omitted all the punctuation you have, then yes, in that case, your sentence would most definitely be a run-on sentence.

Is my example a run-on sentence?

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