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Which statement explains why the value of [tex]\lfloor 2.4 \rfloor[/tex] is 2 but the value of [tex]\lfloor -2.4 \rfloor[/tex] is -3?
A. Because 2 is the greatest integer not greater than 2.4, and -3 is the greatest integer not greater than -2.4. B. Because 2.4 rounds to 2, and -2.4 rounds to -3. C. Because 2.4 is positive, and -2.4 is negative. D. Because 2 is the least integer greater than 2.4, and -3 is the least integer greater than -2.4.
The value of [tex]\(\lfloor 2.4 \rfloor\)[/tex] is 2 because 2 is the greatest integer less than or equal to 2.4. Similarly, the value of [tex]\(\lfloor -2.4 \rfloor\)[/tex] is -3 because -3 is the greatest integer less than or equal to -2.4.
The correct statement is: because 2 is the greatest integer not greater than 2.4, and -3 is the greatest integer not greater than -2.4.
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