What is the greatest integer function?
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
Now, =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.