Vincent Vega wrote:15. If / x / > / y / > / z /, which of the
following equations CANNOT holdtrue?
(A) x + y = 0
(B) y - z = 0
(C) xyz = 0
(D) x - y = z
(E) xyz = 1
[spoiler]OA:B[/spoiler]
* /x/ = absolute x
Vincent. The original question tells us that mod x > mod y > mod z .........equation 1
Since mod of an number is always positive. for example mod 2 = 2 , mod -2 = 2 , mod 1/2 = 1/2 , mod 0 = 0 so on..
Equation 1 transforms into x > y > z ( note that x,y,z can be -infinity, -2 , -1 , -1/2 , 0 , 1/2 , 1, 2)
Question then asks us to find the option that cannot be true.
1. x + y = 0 ? ermm.. i can't think of any combination where x + y = 0, because for this to be true x = -y and this would violate mod x > mod y condition because then mod x will be equal to mod y
2. y - z = 0 , for this to be true, y should be equal to z, which is impossible .. eliminate.
3. xyz=0 , Let x,y,z be 2, 0 -1 xyz= 0 , hence eliminate
4. x - y = z Let x,y,z be 3 2 1 , x - y = z hence eliminate
5. xyz = 1 Let x,y,z be 8 1/2, 1/4 xyz = 1 eliminate.
Are you sure you have copied the question correctly? What is the source?