At a gymnastics competition, each competitor performed one gymnastics routine. Each routine was at least 3 minutes long, but not longer than 7 minutes. Write a double inequality to represent the possible length, b, of a gymnastics routine at the competition in minutes.

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13-09-2022
Mathematics

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At a gymnastics competition, each competitor performed one gymnastics routine. Each routine was at least 3 minutes long, but not longer than 7 minutes. Write a double inequality to represent the possible length, b, of a gymnastics routine at the competition in minutes.

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varshamittal029 varshamittal029 · Answer 1 · 2022-09-22T14:55:30+02:00

We need to know about inequality to solve the given problem. The double inequality to represent the possible length of a gymnastics routine is given by 3≤b≤7.

Inequality is a realtion which makes comparison between numbers or other expressions. Double inequality means when two or more inequalities are joined together. Here in this question we know that each gymnastic routine is at least 3 minutes long. We assume that the length of a gymnastic routine is b, then we can say from the given information 3≤b. It is also said that no gymnastic routine is longer than 7 minutes, so maximum length of any gymnastic routine is 7 minutes, we can write it as, b≤7. Joining these two inequalities we get the double inequality which describes the possible length of a gymnastic routine.

3≤b≤7

Therefore using the concept of inequality we found the double inequality for possible length of gymnastic routine which is 3≤b≤7.

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At a gymnastics competition, each competitor performed one gymnastics routine. Each routine was at least 3 minutes long, but not longer than 7 minutes. Write a double inequality to represent the possible length, b, of a gymnastics routine at the competition in minutes.​

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At a gymnastics competition, each competitor performed one gymnastics routine. Each routine was at least 3 minutes long, but not longer than 7 minutes. Write a double inequality to represent the possible length, b, of a gymnastics routine at the competition in minutes.