"Not anything you do, Ender. Your life itself. Your brtoher hates you because you are living proof that he wasn't good enough. Your parents resent you because of all the past they are trying to avoid."
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Graff knows all the intricacies of Ender's family. He knows Peter is a jealous sociopath and he knows about his family's past. Graff has been monitoring Ender's brain. This tells us Ender's family, like most families, have secrets and unresolved conflicts.