Mr. Johns has up to 100 ceramic goods including mugs and plates available for his art class to decorate at the end of the year. According to the sign-up sheet, at leasy 40 mugs and at least 10 plates will be used. Write a system of inequalities to represent the possible combinations of plates and mugs that Mr. Johns can offer to his art classes.

Afarmer has a large field that is x feet in length. he wants to fence in a rectangular section in the middle of the field , leaving a length of 100 feet of open field behind each end of the fenced rectangle.he also wants the width of the fenced-in space to be 100 feet less than its length. find the expressions to represent the length and width of the fenced section of the field