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Diana.xL

  • one year ago

2. A candy company places an average of 20 truffles in a one-pound box. The number of truffles per box never varies from the average by more than 2. Solve the inequality | x - 20 | ≤ 2 . Show all work leading to your answer

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  1. Diana.xL
    • one year ago
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    @ganeshie8

  2. Diana.xL
    • one year ago
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    @imqwerty

  3. anonymous
    • one year ago
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    Do you know what the modulus signs | ...| mean?

  4. Diana.xL
    • one year ago
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    absolute value

  5. anonymous
    • one year ago
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    Yep good

  6. anonymous
    • one year ago
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    So if i said what values of x has in |x|=1 what are your solutions

  7. Diana.xL
    • one year ago
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    If x ≥ 20, this is equivalent to x - 20 ≤ 2 x ≤ 22 If x < 20, the inequality is equivalent to 20 - x ≤ 2 18 ≤ x 18 ≤ x ≤ 22

  8. Diana.xL
    • one year ago
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    would that be the way i do it?

  9. anonymous
    • one year ago
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    Lets not worry about that. Worry about what i just asked you to do

  10. anonymous
    • one year ago
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    So |x|=1 Means that x=+ 1,-1

  11. anonymous
    • one year ago
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    So |x-20| ≤2 Means x-20 ≤ 2 AND x-20 ≤-2

  12. anonymous
    • one year ago
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    So x ≤22 and x ≤18 So yes 18 ≤x ≤22

  13. anonymous
    • one year ago
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    Breaking it down how i have done it is much easier to grasp

  14. anonymous
    • one year ago
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    Makes sense?

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