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Denise

  • 5 years ago

-8<6n+10<52

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  1. Denise
    • 5 years ago
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    I am suppose to write each solution in interval notation and graph

  2. shadowfiend
    • 5 years ago
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    Solving this is similar to solving any other equation, you just make your changes on both sides. For example, in trying to get \(n\) alone, we need to remove the 10. We can do that by saying: \[-8 - 10 < 6n + 10 - 10 < 52 - 10\] \[-18 < 6n < 42\] So where usually in a regular equation we would make the change to both sides of the equals sign, here we do it to all three parts: before the first < sign, between the < signs, and after the second < sign. Can you take it from there?

  3. Denise
    • 5 years ago
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    I then divide each part by 6 correct?

  4. shadowfiend
    • 5 years ago
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    Right.

  5. Denise
    • 5 years ago
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    -3<n<7

  6. Denise
    • 5 years ago
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    is that right?

  7. shadowfiend
    • 5 years ago
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    Yep!

  8. shadowfiend
    • 5 years ago
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    So now, do you know how to express that in interval notation?

  9. Denise
    • 5 years ago
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    Thanks!!!! I have a ton of these problems to do! Im sure I will be back when I get stuck!

  10. shadowfiend
    • 5 years ago
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    Sounds great!

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