My boyfriend left me claiming I cheated on him, do you think he's right?

A guy on Instagram said hello to me and I said hello to him. Then I answered him as he spoke to me in a friendly way. When my boyfriend saw this, he claimed that I cheated on him. However, I didn't even talk romantically with that guy. My boyfriend told me that it doesn't matter how I talk because I'm giving him a positive signal by letting him talk. He left me. Does this count as cheating?

My boyfriend left me claiming I cheated on him, do you think he's right?
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