An exam consists of two parts, Section X and Section Y. There can be a maximum of 100 questions. There must be at least 5 more questions in Section Y than in Section X. Write a system of inequalities to model the number of questions in each of the two sections. Then solve the system by graphing.

Question

anonymous · Answer

let there be x questions in section X, then there will be 100-x in section Y. And according to the question
$$100-x \ge x+5$$

anonymous · Answer

then finally you get
$$x \le 95/2 => x \le 47.5$$

anonymous · Answer

|dw:1349453343433:dw|