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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