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March 24, 2017

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An exam consists of two parts, Section X and Section Y. There can be a maximum of 80 questions. There must be at least 20 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.

  • math - ,

    X + Y =< 80.
    Y => x+20.

    X + (X+20) =< 80.
    2x+ 20 =< 80.
    2x =< 80-20.
    3x =< 60.
    X =< 20.

    Y => 20 + 20.
    Y => 40.

  • math - ,

    12

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