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If we let $X = \{(x,y) \in R^2 : |x| + |y| \ge 1, \max\{|x|,|y|\} \le 1\}$ how would I go about sketching this subset, I am having some trouble getting started.

Harrison W.
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    Do you know how to sketch each individual subset ${(x,y) : |x| + |y| \ge 1}$ and ${(x,y) : \max{|x|, |y|} \le 1}$? – angryavian Oct 09 '17 at 19:47
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    A good start would be to plot the associated equalities, such as $|x|+|y|=1$. This will make it easier to tackle inequalities as a next step, since the equalities usually give the boundaries for the inequalities. Do you know how to do that? – Zach Boyd Oct 09 '17 at 19:47

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Hint: The curves $\max\{|x|,|y|\} = 1$ and $|x| + |y| = 1$ will form the boundary of the region that you're trying to sketch. You should find that both of these curves are squares in the $xy$-plane (though the second is a "tilted" square).

Ben Grossmann
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