As an inventory analyst, you are adjusting a supply threshold represented by an inequality. If you must multiply both sides of this inequality by a negative number to balance your model, what must you recall to do to the inequality symbol to ensure the mathematical statement remains true?

A logistics coordinator is comparing shipping rates using an inequality. If the coordinator divides both sides of the inequality by the negative adjustment factor $-1$, they must __________ the direction of the inequality symbol to maintain a true mathematical statement.

A financial analyst is adjusting a budget inequality to account for a negative market correction. True or False: If the analyst multiplies both sides of the inequality by a negative scaling factor, they must reverse the direction of the inequality symbol to maintain a true mathematical statement.

A risk management consultant is demonstrating to a trainee why an inequality symbol must be reversed when scaling by negative factors. Arrange the steps of the consultant's numerical proof in the correct logical order, using the example of ${}10 < 15$ and the multiplier -5.

Impact of Negative Scaling on Audit Inequalities