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