Problem Solving

engg.manik wrote:34. [X]is the least integer greater than or equal to X, if [X]=0, what is the possible range of values of X?

x must be greater than -1 and less than or equal to 0

sanjana wrote:Brett,

Shouldnt it be 0<x<1?

According to you,

-1<x<=0

If x>-1
Say x=-0.63,then [x] = -1,since [x] is defined as greatest integer less than or equal to x.

I'm a little confused here.

Hi Sandy

The function is defined as the least integer that is greater than or equal to X.
So, for -0.63, we're looking for an integer that is greater than or equal to -0.63
Possible integers include 0, 1, 2, 3, etc
The function tells us to take the least of these values (i.e., 0)

In your answer, x could equal 0.5
So, possible integers include 1, 2, 3, etc
The function tells us to take the least of these values (i.e., 1) We need [x] to equal 0