No one wants to admit they’re wrong. We cling to our beliefs and grasp onto them tighter the more someone tries to change our mind. As logical and sensible as an argument may be, there may be a far more effective way to get another person to see things differently. You may want to try to acknowledge their position and introduce them to all the relevant facts so the person may change their own mind, instead of you trying to do it for them, according to a recent Lifehack article.
It’s part of your job to persuade others. Different strategies may be more or less effective depending on the situation and the people involved.