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Plot the region of the points P (x,y) sa...

Plot the region of the points P (x,y) satisfying `|x|+|y| lt 1.`

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Given that `|x|+|y| lt 1`.
We have four cases.
If x, `y gt 0`, then we have `x+y lt 1 " or " x+y-1 lt 0.`
Points satisfying these inequalities lie in triangular region in first quadrant formed by axes and line
x+y-1 = 0.
Similarly, we have three trinangular regions in all other quadrants.
Thus, points satisfying given inequality lie in a square as shown in the following figure.
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