Middle School

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To be able to compete in a particular class, a bodybuilder can weigh in at no more than

175 pounds and no less than 145 pounds. If the clothes the wrestlers wear add 1

pound, what is the actual weight range, in pounds, for these bodybuilders (in interval

notation)?

To be able to compete in a particular class a bodybuilder can weigh in at no more than 175 pounds and no less than 145

Answer :

Answer:

B. [144, 174]

Step-by-step explanation:

Given

Total Weight Range = Not less than 145lb and Not more than 175lb

Required

Determine the actual weight range

Let x represent the total possible weight of a bodybuilder

From the question, we understand that the total weight is within the range of 145 to 175. i.e. [tex]145\leq x\leq 175[/tex]

Also from the question, we understand that the bodybuilder's cloth adds 1 lb to the total weight;

The next step is to subtract this 1 lb from the range of total weight to get the actual weight range

This is as follows

[tex]145 - 1 \leq x \leq 175 - 1[/tex]

This gives

[tex]144 \leq x \leq 174[/tex]

From the list of given options, the correct answer is [144,174]

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