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प्रश्न
Solve the following for x, where |x| is modulus function, [x] is greatest integer function, [x] is a fractional part function.
[x + [x + [x]]] = 9
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उत्तर
[x + [x + [x]]] = 9
∴ [x + [x] + [x]] = 9 ...`[([x + "n"] = [x] + "n"),("if n is an integer")]`
∴ [x + 2 [x]] = 9
∴ [x] + 2 [x] = 9 ...[2 [x] is an integer]
∴ [x] = 3
∴ x ∈ [3, 4)
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