Short Answer

Identifying the Solution Region for Multi-Constraint Systems

A floor manager is using a coordinate grid to map a 'Limited Access Zone' on a factory floor. The boundaries of the zone are defined by the following system of linear inequalities:

{y3x2y<1\left\{\begin{array}{l} y \geq 3x - 2 \\ y < -1 \end{array}\right.

After the manager has correctly graphed both boundary lines and shaded the individual regions for each inequality, what is the standard rule for identifying the final 'Limited Access Zone' that represents all points satisfying the entire system?

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Updated 2026-05-26

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