Question

What is the greatest integer function?

Answer 1

Greatest integer function is denoted by [x]. This means, the greatest integer less than or equal to x.

If x is an integer, [x]=x
If x is a decimal number, then [x]= the integral part of x.

Consider this example-
[3.01]=3 This is because the greatest integer less than 3.01 is 3
similarly, [3.99]=3
[3.67]=3
Now, [3]=3 This is where the equality is used. Since, in this example x is an integer itself, the greatest integer less than or equal to x is x itself.