Essay

Safety Inspector Staffing Analysis

In your role as an operations manager at a processing facility, you must ensure that the number of certified safety inspectors, represented by cc, satisfies the capacity requirement given by the inequality 9c>72{}9c > 72.

Write a brief response for the shift supervisor training handbook that explains how to solve this inequality and represent its solution. In your response:

  1. Describe the mathematical operation that must be performed on both sides of the inequality to isolate the variable cc.
  2. State whether the direction of the inequality symbol changes during this process, and explain why or why not.
  3. State the final solved inequality.
  4. Describe how to represent this solution on a number line, specifically identifying the boundary number, the type of symbol used at this boundary, and the direction of the shading.
  5. Provide the final solution written in interval notation.

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Updated 2026-06-17

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