Is it wrong to say I'm dating someone rather than saying I'm not interested?

Randomawkwardness
I don't want to come off as rude and say I'm not interested or take their number or snap and give them a false feeling that I am. Is it wrong that I just say I'm already dating someone?
Updates:
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Some guys are also very persistent and I've read stories about some getting violent which is another reason I do that
Is it wrong to say I'm dating someone rather than saying I'm not interested?
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