Short Answer

Testing Origin in Production Constraints

A production manager is graphing the system of inequalities {xβˆ’y>3,y<βˆ’1/5x+4}\{x - y > 3, y < -1/5x + 4\} to identify a feasible production zone. When applying the test point method to the origin (0,0)(0, 0) for the second inequality, y<βˆ’1/5x+4y < -1/5x + 4, state whether the resulting mathematical statement is True or False and specify if the region containing the origin should be shaded for this specific inequality.

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Updated 2026-04-18

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