If | a | represent modulus or absolute value of a , then the area (in sq units) of the figure bounded by | x | + | y | = 6 is equal to
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Step-by-step explanation:
|x+y|=1 represents two lines: x+y=1 and x+y=-1 --> y=1-x and y=-1-x. Find the x and y intercept of these lines to plot;
|x-y|=1 represents two lines: x-y=1 and x-y=-1 --> y=x-1 and y=x+1. Find the x and y intercept of these lines to plot;
Notice that these lines are mirror images of each other. Here is a square you get when you plot them:
Area.gif
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