A corporate wellness coordinator is helping an employee plan a daily snack routine using protein bars and juice bottles. The protein bars have 140 calories and cost 1.80 dollars each, while the juice bottles have 125 calories and cost 1.25 dollars each. The employee's goal is to add at least 1,000 calories to their daily intake while spending no more than 12 dollars. If $p$ represents the number of protein bars and $j$ represents the number of juice bottles, which system of inequalities correctly models these requirements?

In a corporate wellness program, an employee is calculating their snack budget and calorie intake using a system of inequalities. Match the following phrases used in the problem description to the correct mathematical inequality symbol used to model them.

A corporate wellness coordinator is verifying if a proposed snack pack (containing a specific number of protein bars and juice bottles) meets the dietary and budget requirements defined by a system of inequalities. Arrange the following steps in the correct order to determine if the snack pack is a valid solution for the employee.

In a corporate wellness initiative, an employee is instructed to add at least 1,000 calories to their usual daily diet. If the employee selects a combination of snacks that provides exactly 1,000 calories, this selection satisfies the mathematical inequality used to model this requirement.

When a corporate wellness coordinator models the purchase of daily snacks using a system of inequalities, letting $p$ represent the number of protein bars and $j$ represent the number of juice bottles, the system must include the constraints $p \geq 0$ and $j \geq 0$. These constraints are necessary because the physical quantity of items purchased cannot be ________.