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 because 2 is the least integer greater than 2.4, and –3 is the least integer greater than –2.4

Respuesta :

Using the definition of the floor function, it is found that 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.

What is the floor function?

Modeled by [x], it is the value of the greatest integer that is not greater than x.

Hence, in this problem:

  • [2.4] = 2, as 2 < 2.4 < 3.
  • [-2.4] = -3, as -3 < -2.4 < -2.

Hence, 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.

More can be learned about the floor function at https://brainly.com/question/15457745

Answer:

a

Step-by-step explanation:

on edge