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An after-school program consists of two groups, Section X and Section Y. In order for the program to run, there must be at least 95 students total. There must be at most 5 less students in Section Y than in Section X. Write a system of inequalities to model the number of students in each of the two sections. Then solve the system by graphing.

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The graphical solution to the inequality is attached below with the solution at coordinate (50, 45).

Groups :

  • X and Y

Total of atleast 95 :

  • X + Y ≥ 95 - - - (1)

Atmost Five less students in Y than in X :

  • X - 5 ≤ Y - - - - (2)

Using graphical inequality solver or calculator :

  • The solution to the inequality is given by the point of intersection of the two linear inequalities.

  • The intersection point of the two lines is (50, 45)

Hence. The solution to the inequality is (50, 45) and the graph is attached below.

Learn more : https://brainly.com/question/15748955

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