A project coordinator has a budget of 60 dollars to purchase specialized tool kits for a team. Each tool kit ($d$) costs 12 dollars. The inequality representing this budget constraint is ${}12d \leq 60$, which simplifies to $d \leq 5$. Based on the standard mathematical representations for this solution, which of the following correctly denotes the solution set in interval notation?

A project manager determines that the number of technicians ($d$) needed for a 60-hour task, where each technician contributes 12 hours, is constrained by the inequality ${}12d \leq 60$. Match each mathematical representation of the solution to its corresponding descriptive term.

In a resource allocation model represented by the inequality ${}12d \leq 60$, the solution on a number line is correctly graphed by placing a right bracket at 5 and shading the region to the left.

A warehouse supervisor is calculating the maximum number of 12-foot pallets ($d$) that can fit in a 60-foot loading zone using the inequality ${}12d \leq 60$. Arrange the following steps in the correct order to solve and graph this inequality according to the standard mathematical procedure.

A warehouse coordinator uses the inequality ${}12d \leq 60$ to determine the maximum number of 12-pound crates ($d$) that can be safely stacked on a pallet with a 60-pound capacity. After solving the inequality to find $d \leq 5$, the coordinator graphs the solution on a number line. To indicate that the value 5 is included in the solution set, the coordinator must place a(n) ____ (bracket or parenthesis) at the number 5 before shading to the left.

Solving and Graphing Fleet Service Constraints

Documenting Safety Thresholds: Solving an Inequality