Short Answer

Reciprocal and Inequality Direction in Fleet Maintenance

A fleet maintenance supervisor is analyzing vehicle inspection logs using the inequality 24≤38m{}24 \leq \frac{3}{8}m, where mm represents the total number of vehicles in the fleet. To solve for mm, the supervisor applies the Multiplication Property of Inequality.

Based on this mathematical procedure, state:

  1. The reciprocal of the coefficient 38\frac{3}{8} that both sides must be multiplied by.
  2. Whether the direction of the inequality symbol (≤\leq) must be reversed when performing this multiplication, and the brief rule that determines this.

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Updated 2026-09-19

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