A facilities manager is monitoring a cooling system where the temperature change is modeled by the inequality ${}-13m \geq 65$, where $m$ represents the time in minutes. When dividing both sides of the inequality by ${}-13$ to solve for $m$, which rule must be followed regarding the inequality symbol?

A construction foreman uses the inequality $-13m \geq 65$ to determine the maximum safe load $m$ for a crane. True or False: To graph the solution of this inequality on a number line, a right bracket is placed at $-5$ and shading is applied to the left.

As a project manager evaluating resource constraints, you are working with the efficiency inequality ${}-13m \geq 65$. Match each component of the solution and graphing process with its correct description or representation.

A production analyst is solving the performance variance inequality ${}-13m \geq 65$ to identify the maximum allowable deviation $m$ for a factory line. Arrange the following steps in the correct order to solve and graph this requirement.

Interval Notation for Performance Variance

A supply chain manager solves the cost reduction inequality ${}-13m \geq 65$ and determines the solution is $m \leq -5$. When graphing this result on a number line for a logistics report, the manager applies shading to the left and places a ____ bracket at -5 to show the boundary.