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For any real number *x*, there is a unique integer *n* such that *n*≤ *x* < *n*+1. This integer *n* is the integer part of *x*, and isdenoted by [*x*]. For example, and [*π*]=3, but notice that In a computer language, the function **INT(X)** may convert the real number **X** into an integer by truncating. If so, **INT**(9/4)=2 and **INT(PI)**=3, but **INT**(−9/4)=−2. So **INT(X)** agrees with [*x*] for *x*≥0 but not for *x* < 0.The graph *y*=[*x*] is shown here.

*Subjects:*
Mathematics.

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