Pregunta
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For use after Lesson 5.7
In your own words, write the meaning of each vocabulary term.
system of linear inequalities
solution of a system of linear inequalities
graph of a system of linear inequalities

Ask by Lee Simpson. in the United States
Jan 23,2025

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  • System of Linear Inequalities: A set of two or more linear inequalities that are considered together to find all points that satisfy every inequality at the same time.
  • Solution of a System of Linear Inequalities: All the points (x, y) that make every inequality in the system true simultaneously.
  • Graph of a System of Linear Inequalities: A visual representation on a coordinate plane showing all points that satisfy every inequality in the system, with overlapping shaded regions indicating the solution set.

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Bonus Knowledge

A system of linear inequalities consists of two or more linear inequalities that work together, where solutions must satisfy all inequalities simultaneously. Think of it as a team of rules that help narrow down the options for possible solutions!
The solution of a system of linear inequalities is the set of all points (often represented as coordinates) that make all the inequalities true at the same time. It’s like finding the common ground where all the teams play nicely together!
The graph of a system of linear inequalities visually represents the solution set on a coordinate plane, typically shading the regions that fulfill the conditions. It’s like coloring in a treasure map showing all the places where the treasure can be found!

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