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Solve the following for x, where |x| is modulus function, [x] is greatest integer function, [x] is a fractional part function. {x} > 4

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Question

Solve the following for x, where |x| is modulus function, [x] is greatest integer function, [x] is a fractional part function.

{x} > 4

Sum
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Solution

{x} > 4

∵ 0 ≤ {x} < 1

∴ {x} > 4 has no solution

∴ solution set is {  }

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Chapter 6: Functions - Exercise 6.2 [Page 128]

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