boujeerat006
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  • 16-12-2021
  • Mathematics
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Fill in the system of linear inequalities with >,< so that that graph represents the system

Fill in the system of linear inequalities with gtlt so that that graph represents the system class=

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jimthompson5910 jimthompson5910
  • 16-12-2021

Answers:  

[tex]y \boldsymbol{\ge} 3x-2[/tex]

[tex]y \boldsymbol{>} -x+5[/tex]

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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 [tex]y \ge 3x-2[/tex]

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