DarkBullRider wrote:

Is x > y?

(1) x^3 > 100y^7

(2) x > 0

few info1) if the variable x positive

# \(x >1.... x^n\) will be >x, where n>1.

# \(x<1.......x^n\) will be <x, where n>1.

2) if the variable x is negative#x to the power of EVEN integer is always >x

# \(x>-1 .... x^n\) will be >x, where n>1 and odd,

# \(x<-1.......x^n\)will be <x, where n>1 and odd,

(1) \(x^3 > 100y^7\)

if x and y are positive integers x>y... \(5^3>100*1^7\)

but if both are positive fractions, x can be <y....\(\frac{1}{100}^3>100*\frac{2}{100}^7.....\frac{1}{10^6}>100*\frac{128}{10^14}=\frac{0.128}{10^9}\)

If negative , similarly we can find

but different answers even when both are positiveinsuff

(2) x > 0

nothing about y

insuff

combined..

two cases as mentioned in case 1 exist

if x and y are positive integers x>y... \(5^3>100*1^7\)

but if both are positive fractions, x can be <y....\(\frac{1}{100}^3>100*\frac{2}{100}^7.....\frac{1}{10^6}>100*\frac{128}{10^14}=\frac{0.128}{10^9}\)

E

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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372

2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

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