Graphing Inequality : lx-yl + lxl - lyl ≤ 2

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    Graphing Inequality
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SUMMARY

The discussion focuses on graphing the inequality lx - yl + lxl - lyl ≤ 2 in the Cartesian plane. Participants emphasize the importance of showing prior attempts to solve the problem to facilitate better assistance. A clear solution and careful graphing are requested to visualize the region defined by the inequality. The conversation highlights the collaborative nature of problem-solving in mathematical forums.

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  • Understanding of absolute value functions
  • Familiarity with Cartesian coordinate systems
  • Basic knowledge of inequalities
  • Experience with graphing techniques
NEXT STEPS
  • Study absolute value inequalities and their graphical representations
  • Learn techniques for sketching regions defined by inequalities
  • Explore graphing software tools like Desmos for visualizing inequalities
  • Review examples of similar mathematical problems in forums or textbooks
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Students, educators, and anyone interested in mastering graphing techniques for inequalities in mathematics.

Kyle1
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Sketch the region in the plane consisting of all points (x,y) such that lx-yl + lxl - lyl ≤ 2
I don't know exactly the most appreciated solution to this kind of problem. Can you guys show me a clear answer and if possible, a careful graph please?
 
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Hello and welcome to MHB, Kyle! :D

We ask that our users show what they have tried when posting questions, as this let's our helpers know where you are stuck or what you may be doing wrong, and this way we can offer you the best help possible.

Can you post your work so far?
 

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