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Math Help - Solve the inequality (put in interval notation and graph)

  1. #1
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    Solve the inequality (put in interval notation and graph)

    -5(6y-6)< -35y + 25
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  2. #2
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    Quote Originally Posted by lovely08 View Post
    -5(6y-6)< -35y + 25
    I will not graph this for you, but I'll help you get it started...

    -5(6y-6)< -35y + 25
    -30y+30<-35y+25
    5y<-5
    y<-1

    The graph ends up being the shaded region under the line y=-1.
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  3. #3
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    Hello, lovely08!

    Exactly where is your difficulty?


    -5(6y-6)\:<\: -35y + 25

    We have: . -30y + 30 \:<\:-35y + 25

    Then: . 5y \:<\:5\quad\Rightarrow\quad y \:<\:-1


    Interval: . (-\infty,\:-1)


    Graph: . =====o - - - - -
    . - . . - . . . . . -1

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