GMAT Quantitative Section | Inequalities-Basics

Hello!

Just some basics facts about inequalities.Feel free to add-on/correctmistakes.

I. If x>y

x^n>y^n is always true for n = odd

Example0.5>-2--> (0.5)^3 > (-2)^3 --> 0.125>-8 [Correct]

x^n>y^n may or may not be true for n = even.

Example0.5>-2--> (0.5)^2 > (-2)^2 --> 0.25>4 [Incorrect]

In the same vein,

Ifx^n>y^n
x>y for n = odd

Example-8>-27 --> (-2)^3 > (-3)^3 --> -2>-3 [Correct]

x>y
...

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