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Question
Answer the following:
Solve the following for x, where |x| is modulus function, [x] is greatest interger function, {x} is a fractional part function
[x − 2] + [x + 2] + {x} = 0
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Solution
[x − 2] + [x + 2] + {x} = 0
∴ [x − 2] + [x + 2] = – {x}
L.H.S. is an integer
∴ R.H.S. must be an integer
But only integral value of {x} is 0
∴ x = 0 is the only solution.
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