1Cademy - A logistics planner is optimizing warehouse space based on the inequality ${}3q \geq 7q - 23$, where $q$ represents the number of pallets. After collecting the variable terms on the left side, the planner reaches the step $-4q \geq -23$. In the next step, the planner must divide both sides by $-4$. Because they are dividing by a negative number, the planner must remember to ____ the inequality sign to find the correct maximum number of pallets.

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Solving $3q \geq 7q - 23$

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A logistics planner is optimizing warehouse space based on the inequality ${}3q \geq 7q - 23$ , where $q$ represents the number of pallets. After collecting the variable terms on the left side, the planner reaches the step $-4q \geq -23$ . In the next step, the planner must divide both sides by $-4$ . Because they are dividing by a negative number, the planner must remember to ____ the inequality sign to find the correct maximum number of pallets.

Updated 2026-09-19

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