A peanut company ships its product in a carton that weighs 20 oz when empty. Twenty bays ul
peanuts are shipped in each carton. The acceptable weight for one bag of peanuts is between 30.5 pz
and 33.5 oz, inclusive. If a carton weighs too much or too little it is opened for inspection. Write and
solve a compound inequality to determine x, the weights of cartons that are open for inspection.
mular dog run so that one shorter side of the

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The compound inequality statement for the weight of cartons that would be inspected is 630 > X > 690

Weight of empty carton = 20 oz

Acceptable range of weight per bag of peanut :

  • Lower limit = 30.5 oz
  • Upper limit = 33.5 oz

Number of peanut bags per carton = 20 bags

Therefore,

The lower limit for weight of carton after being filled will be :

  • Weight of empty carton + (20 × weight per bag)
  • 20 + (20 × 30.5) = 630 oz

The Upper limit for weight of carton after being filled will be :

  • Weight of empty carton + (20 × weight per bag)
  • 20 + (20 × 33.5) = 690 oz

Therefore, the compound inequality for the cartons that will be inspected is : 630 > X > 690

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