Am I wrong for giving my opinion?

I just hate the fact that people literally ask for your opinion and yet still disagree with it and say its wrong because majority of people have an opposite view! How can an opinion be wrong? It's literally just my thought on the subject, it can't be right or wrong. Ever experienced this? How do you handle such situations? Has anyone ever forced you to change your opinion? Has anyone ever changed their opinion because they have been provided with facts? Or has anyone not changed their opinion even though they have been provided with facts?
Am I wrong for giving my opinion?
Updates:
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I'm talking about it happening everywhere, please feel free to share any experiences you may have had, or any frustrations.
Am I wrong for giving my opinion?
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