Cal Grant is a scholarship opportunity provided to Californians that attend Californian schools. To be eligible for the scholarship, a family must fall at or below the established income ceilings listed below. Jessica has four members in her household. She is excited to go to UC Berkeley this year and plans on applying for the Cal Grant A, which will award her family $12,570. Her mother was recently offered a raise from $112,005 to $117,000 plus the opportunity for overtime hours at $75/hour. Write and solve an inequality that models how many overtime hours Jessica's mother would have to work to make the raise worth the loss of the scholarship.