SOLUTION: the area of the region enclosed by [x]+[y]=1 is ? brackets mean (absolute value)

Question 1044930: the area of the region enclosed by [x]+[y]=1 is ? brackets mean (absolute value)
Answer by ikleyn(52818) (Show Source): You can put this solution on YOUR website!
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the area of the region enclosed by [x]+[y]=1 is ? brackets mean (absolute value)
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The area of this region is 2 square units.

It consists of 4 right-angled triangles, each with the legs of 1 unit long.

See the plot below.

Region |x| + |y| <= 1 enclosed between 4 straight lines.

My note: usually, when someone wants to present the absolute value of x, he/she uses the notation |x|.

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