y < x+z/2
i.e 2y < x+z
stmt 1: y-z < z -y
i.e 2y <2z
i,e y<z
we cannot say this x>z or z>x
NOT SUFF
stmt2: z-y>z-x/2
i.e 2z -2y > z-x
i.e 2z -z +x > 2y
i.e 2y <z+x
SUFF
ans shoud be B
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Inequalities 2
Source: Beat The GMAT — Problem Solving |
1) y-z = z-y
y<z NOT sufficient. We don't know about x.
2) z-y > z-x/2
-y > -x/2
y<x/2 - NOT sufficient. We don't know about z.
1 & 2
2y < z+x/2 => y<z/2+x/4
If x=0, then y<x+z/2 = y<x/4+z/2
But if x!=0 then <x+z/2 is not equal to y<x/4+z/2. Therefore 1 & 2 are not sufficient.
Answer is E.
Please correct me if am wrong.
y<z NOT sufficient. We don't know about x.
2) z-y > z-x/2
-y > -x/2
y<x/2 - NOT sufficient. We don't know about z.
1 & 2
2y < z+x/2 => y<z/2+x/4
If x=0, then y<x+z/2 = y<x/4+z/2
But if x!=0 then <x+z/2 is not equal to y<x/4+z/2. Therefore 1 & 2 are not sufficient.
Answer is E.
Please correct me if am wrong.
I think the stmt 2 should read likejay2007 wrote: 2) z-y > z-x/2
.
z-y > (z-x)/2. If this is the case then Ans is B
Please confirm the OA












