Question

Fill in the system of linear inequalities with >,< so that that graph represents the system

Answer 1

Answers:  

$y \boldsymbol{\ge} 3x-2$

$y \boldsymbol{>} -x+5$

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Explanation:

The shaded region is above both boundary lines. So we'll have the > symbol involved. For the boundary line y = -x+5, we have a dashed line. So we have y > -x+5 here. We don't include points on the dashed boundary.

In contrast, points on the boundary for y = 3x-2 are included. So that's why we have $y \ge 3x-2$