uptowngirl92 wrote:X / |X| < X . Which of the following must be true about integer X ? X is not equal to 0.
A X > 1
B X > -1
C |X| < 1
D |X| = 1
E |X|^2 > 1
LOST!! :roll:
We know that x doesn't equal 0. So let's break it down into the two other possible cases:
x>0 and x<0
If x is positive, then |x| = x and we can simplify:
x/x < x
1 < x
So, if x is positive, x must be greater than 1.
If x is negative, then |x| = -x (since a negative times a negative gives us a positive) and we can simplify:
x/-x < x
-1 < x
However, we know that x must be an integer (because that's what the question tells us). Since there are no negative integers greater than -1, there are no possible negative values for x.
Accordingly, we can ignore the x < 0 case. Since x must be postive, x must be greater than 1: choose A.
