Carcass wrote:
If [x] denotes the least integer greater than or equal to x and [x/2] = 0, which of the following could be the value of x?
A. -2
B. -3/2
C. 1/2
D. 1
E. 2
First, let's take a moment to get a good idea of what this strange notation means.
A few examples:
[5.1] = 6
[3] = 3
[8.9] = 9
[-1.4] = -1
[-13.6] = -13
So, if [x/2] = 0, then we know that
-1 < x/2 ≤ 0Multiply all sides of the inequality by 2 to get:
-2 < x ≤ 0Check the answer choices....
Only -3/2 falls inside that range.
Answer: B
Cheers,
Brent