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I'm really bad at graphing more "difficult" equations. I get lost in the constraints. Could anyone give me tips and show me what the graph of the following equation should look like?

We have two random variables $X$ and $Y \in [0,1]$. $X$ and $Y$ only take on values within a triangle with vertices $(0,1), (0,-1), (1,0)$. What would the graph of $x-y \leq z$ with $x \geq y$ look like within this triangle?

Thanks a lot.

David South
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  • For each z in (-1,1), this is the interior of the trapezoid with vertices (0,0), (.5,.5), (.5(1+z),.5(1-z)) and (0,-z). – Did Oct 17 '15 at 20:05
  • @Did PERFECT! That's what I got using the help you and Andre gave me from the other question you commented on. Thank you! – David South Oct 17 '15 at 20:16

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