BTGmoderatorDC wrote:If x < y < z and y - x > 5, where x is an even integer and y and z are odd integers, what is the least possible value of z - x?
A. 6
B. 7
C. 8
D. 9
E. 10
Since x must be even, let x=0.
To minimize z-x, we must minimize the distance between z and x.
Plugging x=0 into y-x > 5, we get:
y-0 > 5
y > 5
Since y must be odd, the least possible value for y is 7.
Plugging y=7 into z > y, we get:
z > 7
Since z must be odd, the least possible value for z is 9.
Result:
z-x = 9-0 = 9
The correct answer is
D.
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