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x>y, and z is a positive number. Let x=4,y=3 and z=2
We are to determine the relationship that is not true.
A. xz>yz i.e. 8>6; True
B. z-x>z-y i.e. (-2)>(-1); not true.
C. x-z>y-z i.e. 2>1; true.
D. x/z>y/z i.e. 2>3/2 true.
E. x+z>y+z i.e. 6>5; true.

The answer is therefore B.

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Bunuel
If X > Y and Z is a positive number, which of the following relationship is not true ?

A. XZ > YZ
B. Z-X > Z-Y
C. X-Z > Y-Z
D. X/Z > Y/Z
E. X+Z > Y+Z

Since X > Y, then -X < -Y and hence Z - X < Z - Y. So choice B, Z - X > Z - Y, is not true.

Answer: B
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