Let z=[y] and y=[x]-x , where [.] is the greatest integer function. If x is not an integer but positive, then what is the value of z ?

Step-by-step solution

We know, x +[x]=x x-[x]= x (where x is fractional port of x .) 0 x-[x] < 1 ( 0 x < L) aligned & -1 < [x]-x 0 & -1 < y < 0 & [y]=-1 aligned