A district court concluded that petitioner board of education's policies violated the Fourteenth Amendment. The board was enjoined from failing to adopt a plan to correct racial imbalance and ordered to submit a plan for desegregating schools. The court vacated and remanded the judgment of the appeals court. The court held that the board established that they were entitled to relief from the injunction insofar as it required them to alter school attendance zones. The district court exceeded its authority when it enforced its order requiring annual readjustment of attendance zones. Having once implemented a racially neutral attendance pattern in order to remedy the board's perceived constitutional violations, the district court had fully performed its function of providing the appropriate remedy for previous racially discriminatory attendance patterns.