A dietitian is helping a diabetic patient monitor intake of carbohydrates, protein, and...

A dietitian is helping a diabetic patient monitor intake of carbohydrates, protein, and fat. The number of grams of each in a serving of milk, vegetables, fruit, and meat is given by the following chart.

The minimum requirements are carbohydrates: 30 grams; protein: 15 grams; and fat: 10 grams.

(a) Write a system of inequalities that must hold if a meal consists of two foods, vegetable and meat, and the minimum requirements are met.

(b) Write a system of inequalities that must hold if the meal consists of milk and vegetable and the minimum requirements are met.

(c) Write a system of inequalities that must hold if the meal consists of vegetable and fruit and the minimum requirements are met.