Create and solve a one-variable linear equation from a short context.
Write and solve a one-variable inequality from a limit
Problem
Notebooks cost \(\$5\) each, and the budget is at most \(\$40\). Let \(n\) be a nonnegative whole-number count. Write and solve the inequality, then state the greatest allowed number of notebooks.
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What this problem is really about
This is a limit problem, so the wording determines the inequality direction before any algebra begins. The total cost is the price per notebook times the whole-number count, and “at most” means that total cannot exceed the budget. After dividing by the positive price, we’ll interpret the resulting bound within the nonnegative whole-number domain.
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