A facility manager is comparing energy usage in two buildings. Building A uses less energy than Building B, represented by the inequality ${}10 < 15$. If the manager multiplies the energy data for both buildings by a positive scaling factor of 5, which of the following is a true statement about the resulting comparison?

If a financial analyst divides both sides of an inequality comparing quarterly expenses, such as ${}10 < 15$, by a positive number, the direction of the inequality sign must be reversed.

A logistics coordinator compares the weight of two cargo shipments using the inequality ${}10 < 15$. If the coordinator multiplies both weights by a positive unit conversion factor, the direction of the inequality symbol ____.

A warehouse supervisor is training a new staff member on how to scale inventory comparisons using inequalities. The supervisor uses the example ${}10 < 15$ to show what happens when both sides are multiplied by a positive factor. Arrange the following steps in the correct order to demonstrate how this example verifies the Multiplication Property of Inequality.

Recalling Inequality Properties in Logistics

As a department supervisor, you are training your team on how to scale and adjust daily productivity metrics without altering the validity of your comparisons. You use the baseline comparison ${}10 < 15$ (representing Station A's hourly output of 10 boxes being less than Station B's hourly output of 15 boxes) to demonstrate how inequalities behave. Match each scaling action on this inequality with its mathematically correct simplified result.

Verifying Cost Scaling Consistency in Purchasing Contracts