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Sketch the region of relation [x] + [y] ...

Sketch the region of relation `[x] + [y] = 5, x, y ge 0`, where `[*]` denots the greatest integer function.

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`[x]+[y]=5`
For `0 le x lt1, 0 + [y]=5 or [y]=5 or 5 le x lt 6`
Thus, the points lie in the region stisfying `0 le x lt 1 and 5 le x lt 6` as shown in the following figure.

Thus, we have the following values of x and the corresponding values of y.

The region satisfying the above conditions is as shown in the following figure.
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CENGAGE-GRAPHS OF ELEMENTARY FUNCTIONS -Exercise
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