If the supreme court grants a case a writ of certiorari

It has accepted and will hear the case.

Explanation:

When the court grants a case a writ of certiorari, it means that the court has promised to handle the case but within their own discretion. As soon as a writ of certiorari is granted, The courts will order public authorities to send all relevant records about the case to them so they can proceed to the case review.