Answer by
UpwardBoundPrecalcTutor (128)

The greatest integer function assigns to each real number, the largest integer less than or
equal to the given number. Thus GreatestINTEGER(x) = n such that n is largest valued integer
which satisfies n≤ x. For example GreatestINTEGER(3. 7)=3 , greatestinteger(13)=13,greatestinteger(17/5)=3, greatestinteger(-7. 6)= -8,greatestinteger(π)=3,greatestinteger(-π) = -4, greatestinteger(-10) = -10,greatestinteger(4/5)= 0.