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Answer :
Final answer:
The actual weight range for the bodybuilders to compete in the specified class, after accounting for the weight of their clothes, is (144, 174] pounds in interval notation.
Explanation:
To determine the actual weight range for bodybuilders to compete in a specific weight class after accounting for the weight of their clothes, we need to subtract 1 pound from both the upper and lower limits of the weight range. The weight limits given are no more than 175 pounds and no less than 145 pounds. Since the clothes add 1 pound, the actual weight that the bodybuilders must be in is 1 pound less than these limits.
The upper limit for the actual weight is 175 - 1 = 174 pounds and the lower limit is 145 - 1 = 144 pounds.
In interval notation, this can be expressed as (144, 174], indicating that the competitors can weigh more than 144 pounds but no more than 174 pounds.
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Final answer:
The actual weight range for bodybuilders in this class, accounting for 1 pound of clothing, is (144, 174) pounds expressed in interval notation.
Explanation:
The bodybuilder's weight class allows for competitors to weigh in at no more than 175 pounds and no less than 145 pounds. Since the clothes add 1 pound, we need to subtract this additional weight to find out the actual weight range that a bodybuilder must be within to compete in this class.
Subtracting 1 pound from both ends of the weight class range:
Maximum weight with clothes: 175 pounds Actual maximum weight: 175 - 1 = 174 pounds
Minimum weight with clothes: 145 pounds Actual minimum weight: 145 - 1 = 144 pounds
Therefore, the actual weight range for the bodybuilders, without clothes, in interval notation, is (144, 174).
