Concept:A linear inequality is solved like an equation. Keep the inequality sign, and isolate x by performing inverse operations.Explanation:Start with the given inequality:25x+450≤3000Subtract 450 from both sides to remove the constant:25x≤3000−450This simplifies to:25x≤2550Now divide both sides by 25, the coefficient of x:2525x≤252550Since 25 is positive, the inequality sign remains unchanged:x≤102Answer:x≤102