# Solve the following for x, where |x| is modulus function, [x] is greatest integer function, [x] is a fractional part function. 2|x| = 5 - Mathematics and Statistics

Sum

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

2|x| = 5

#### 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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