The directors of a dance show expect many students to participate but don’t yet know how many students will come. The directors need 7 students to work on the technical crew. The rest of the students work on dance routines in groups of 9. For the show to work, they need at least 6 full groups working on dance routines.

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The

inequalitythat represents thescenariogiven above in terms of the number of students is9x + 7 ≥ 54## What is the Inequality?

Inequalityis known to be a statement that shows the step or order association either it is greater than,equalto, less than, etc., that exist between two or more numbers in anexpression.Note that 7

studentsare in the technical crew. Denote the number of students in agroupas = xWe take the other

studentsin dance routines in groups of 9 as 9x.Therefore, we say that the total

numberof students = 9x + 7Since 6 full

groupsare working on dance routines, we then multiply by the studentdancegroups = 9 x 6 = 54Therefore, we can state that our

inequalityas:9x + 7 ≥ 54

Then you

collectlike terms:9x ≥ 54 - 7

9x ≥ 47

x ≥ 47/9

x ≥ 6

So therefore, I will write to

directorsthat the number of students they need in each group should be at least 6students.See full question below

1. Write and solve an inequality to represent this situation.

2. Write a sentence to the directors about the number of students they need.

Learn more about

inequalityfromhttps://brainacademy.pro/question/11876341