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skim
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im with bigtreezl, I get A as well, assuming that the equation in the question is as bigtreezl has written it.
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1/ y^2+1/y-y>0
With y=2 and y= -0.3 => insuf
2/ x^2+1/x can be (+) or (-) with x = 2 or -0.3. With the info y>0 => insuf
together suf, hence C
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skim
If x is not equal to 0, is x^2 + 1 / x > y?

(I) x = y

(2) y > 0

OA is


Question:\((x^2 + 1 / x > y)?\)

(1) \(x=y\)

Question:\((x^2 + 1 / x > x)?\)
Question:\((x^3 + 1 > x^{2})?\)
Question:\((1 > x^{2} - x^{3})?\)
Question:\((1 > x^{2}(1 - x)?\)

If x<-1 NO
If x>0 YES

(2) y>0 insufficient

(1&2)
\(x=y>0 \longrightarrow x>0\)
Question:\((1 > x^{2}(1 - x)?\)
\(\longrightarrow ALWAYS YES\)

Final Answer, \(C\)
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skim
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The equation in question is:

If x is not equal to 0, is
x^2+1
x
> y ?

(1) x = y
(2) y > 0


pmenon
im with bigtreezl, I get A as well, assuming that the equation in the question is as bigtreezl has written it.
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C.

Stmt 1 - Can be written as

Is (X) + (1/X) > (X) -----------------> 1
We can see that (1/X) can raise the value of LHS if X is +ve or it can lower the value if X is -ve.
So not suff.

Stmt 2 -
Does not talk abt. X. So not suff.

Combine....
Stmt 1 tells X=Y and Stmt. 2 tells that X is +ve(because y is +ve)
apply this info. to eq. 1
Clearly suff.



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