Which statement explains why the value of lfloor 2 point 4 rfloor is 2 but the value of lfloor minus 2 point 4 rfloor is negative 3 ?

The floor of a number is the greatest integer that is less than or equal to it. For 2.4, that integer is 2; for −2.4, it is −3, since −3 ≤ −2.4 and −2 is greater than −2.4. So the statement describing both values is “the greatest integer not greater than” each number.

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