The most important cue used to signal that a case is worthy of consideration and therefore likely to be granted cert by the Supreme Court is:

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The presence of a circuit split is a crucial indicator that a case may be of significant interest to the Supreme Court. A circuit split occurs when different federal circuit courts of appeals have ruled differently on the same legal issue. This inconsistency in the application of the law across different jurisdictions often prompts the Supreme Court to grant certiorari (cert) to resolve the discrepancy and ensure uniformity in the law throughout the United States.

The Most Important Cue Used to Signal That a Case