Diana.xL
  • Diana.xL
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
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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Diana.xL
  • Diana.xL
@ganeshie8
Diana.xL
  • Diana.xL
@imqwerty
anonymous
  • anonymous
Do you know what the modulus signs | ...| mean?

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Diana.xL
  • Diana.xL
absolute value
anonymous
  • anonymous
Yep good
anonymous
  • anonymous
So if i said what values of x has in |x|=1 what are your solutions
Diana.xL
  • Diana.xL
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
Diana.xL
  • Diana.xL
would that be the way i do it?
anonymous
  • anonymous
Lets not worry about that. Worry about what i just asked you to do
anonymous
  • anonymous
So |x|=1 Means that x=+ 1,-1
anonymous
  • anonymous
So |x-20| ≤2 Means x-20 ≤ 2 AND x-20 ≤-2
anonymous
  • anonymous
So x ≤22 and x ≤18 So yes 18 ≤x ≤22
anonymous
  • anonymous
Breaking it down how i have done it is much easier to grasp
anonymous
  • anonymous
Makes sense?

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