Tommy is saving for college and works less than 22 hours per week between two part-time jobs. He earns $8 an hour babysitting his cousins and tutors for $21 an hour. To meet his savings goals, he must earn at least $253 each week. Let x represent the number of hours babysitting and y represent the number of hours tutoring. Write and solve a system of inequalities to determine the solution set for the situation.