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

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The discussion revolves around graphing the inequality lx - yl + lxl - lyl ≤ 2 and requests assistance in finding a clear solution and graph. Users emphasize the importance of sharing previous attempts to better understand where help is needed. A welcoming response encourages the original poster to provide their work for more tailored guidance. The conversation highlights the collaborative nature of solving mathematical problems in the forum. Clear communication of efforts is essential for effective assistance in such discussions.
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?
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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