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So essentially, you are graphing some boundary with respect to -x=y correct. That is easy. Then do some analysis. Suppose x is in interval [0,k] for some real number k, then what is the region of y in which y <= -x? at 0, it's everything negative right?, at k it's everything less than -k right?

So the full region "below" the linear function f(x) = -x is your graph.

Draw it yourself.

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Q: How do you graph negative x is greater than or equal to y?
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