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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.
2|x| = 5
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Solution
2|x| = 5
∴ 2(± x) = 5
∴ 2x = 5 or – 2x = 5
∴ x = `5/2` or x = `-5/2`
∴ x = ± 2.5
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