A facility manager is creating a digital floor map of a storage zone. The boundaries of the zone are defined by the mathematical system: $\left\{\begin{array}{l} y \geq 3x - 2 y < -1 \end{array}\right.$. To accurately represent these limits, the manager must use a dashed line for any boundary that is not included in the solution set. Which of the following lines should be drawn as a dashed line on the map?

A supply chain analyst is determining a viable delivery region on a grid, modeled by the system of inequalities $\left\{\begin{array}{l} y \geq 3x - 2 \\ y < -1 \end{array}\right.$. Based on the steps for graphing this system, the exact intersection point where the two boundary lines meet is considered part of the viable delivery region.

A safety technician is mapping a 'safe operation zone' on a coordinate grid based on the system of inequalities: $\left\{\begin{array}{l} y \geq 3x - 2 y < -1 \end{array}\right.$. Match each component of the mapping process to its correct geometric or procedural description.

A logistics coordinator is mapping a 'loading zone' on a coordinate grid for a new warehouse floor plan. The boundaries of the zone are defined by the following system of inequalities:

$y \geq 3x - 2$ $y < -1$

Arrange the steps in the correct order to solve this system by graphing and identify the loading zone on the map.

Identifying the Solution Region for Multi-Constraint Systems

A facility manager is using a coordinate grid to map a secure storage zone defined by the system of inequalities $y \geq 3x - 2$ and $y < -1$. After graphing each boundary line and shading its respective region, the manager identifies the final secure storage zone as the area where the two shaded regions ____.

Recalling Graphing Rules for Linear Inequality Systems