Any owner who has received an order to take corrective action under this Article may appeal to the City Council by giving notice of appeal in writing to the Housing and Neighborhoods Department Director and to the City Clerk within 10 days after the inspector issues the order. The City Council shall hear and render a decision on an appeal within a reasonable time. The City Council may affirm, modify and affirm, or revoke the order. In the absence of an appeal, the inspector's order to take corrective action shall be final.