A warehouse safety inspector determines that a storage rack can support a maximum weight, $L$, of ${}2,500$ pounds ($L \le 2500$). When graphing this weight limit on a number line to visualize safe loading zones, which value acts as the zero partition number?

A restaurant owner determines that the business is profitable only when it serves more than ${}40$ customers per night ($c > 40$). When graphing this profitability threshold on a number line, the boundary value of ${}40$ acts as a(n) ____ partition number.

A construction safety officer determines that a trench requires additional shoring if its depth, $d$, exceeds ${}5$ feet ($d > 5$). When representing this safety regulation on a number line, the boundary value of ${}5$ is an example of a zero partition number.

Performance Metrics Visualization

In various professional scenarios, a specific boundary value acts as a zero partition number to divide a number line into regions of valid and invalid solutions. Match each scenario with the specific value that serves as its zero partition number.