Which statement explains why the value of [2.4] is 2 but the value of [-2.4] is - 3?

Because 2 is the greatest integer not greater than 2.4 and - 3 is the greatest integer not greater than - 2.4.

Because 2.4 rounds to 2, and - 2.4 rounds to - 3.

Because 2.4 is positive and - 2.4 is negative, they are rounded in different ways.

Because 2.4 and - 2.4 are both divisible by 2 and by 3, the value of each expression can be ±2 or ±3.

For any x in Real numbers, [x] is the greatest possible integer smaller than x, or equal to x if x is an integer.

According to this,

[2.4] is the greatest integer, smaller than or equal to (so non greater) 2.4. This number is 2

similarly, [-2.4] is the greatest integer, smaller than or equal to (so non greater) - 2.4. This number is - 3.

Answer:

A) Because 2 is the greatest integer not greater than 2.4 and - 3 is the greatest integer not greater than - 2.4.