Responding to Relativism

If someone were to tell me "that's true for you, but not for me," I would respond by saying that their statement is contradictory. When someone makes this statement they are recognizing that the statement should be true for everyone and therefore contradicts the statment said. They are trying to create a truth in the statement that is relevant for everyone. They cannot say that no belief is true for everyone because you are making a claim that this statement and relativism is true for everyone and therefore absolutism is false. You can't say at the same time that nothing is true and yet say that this statement is true.