Question

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)?

Answer 1

B. [144, 174]

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.
`145\leq x\leq 175`

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

`145 - 1 \leq x \leq 175 - 1`

This gives

`144 \leq x \leq 174`

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