4d wrote:
If x and y are non-zero numbers such that x > y, which of the following is always true?
A) \(\frac{1}{x} < \frac{1}{y}\)
B) \(\frac{x}{y} > 1\)
C) \(|x| > |y|\)
D) \(\frac{1}{xy^2} < \frac{1}{x^2y}\)
E) \(\frac{x}{y} < \frac{y}{x}\)
IMO D
Just test values, Given x > y
If x and y are non-zero numbers
Test values : 2> 1 or -1 > -2
A) \(\frac{1}{x} < \frac{1}{y}\), To avoid any confusion, always do this.
\(\frac{1}{y} > \frac{1}{x}\), this works for me
C1: 1 > 0.5, Yes
C2: -1 > -0.5 No
B) \(\frac{x}{y} > 1\)
C1: 2 > 1 Yes
C2: 0.5 > 1 No
C) \(|x| > |y|\)
This will give multiple values
D) \(\frac{1}{xy^2} < \frac{1}{x^2y}\), same here as well
\(\frac{1}{x^2y} > \frac{1}{xy^2}\)
For any set of values, Here i am always getting a No.
E) \(\frac{x}{y} < \frac{y}{x}\)[/quote], same here as well
\(\frac{y}{x} > \frac{x}{y}\)[/quote]
Here you can get a Yes and a No
_________________
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Quote which i can relate to.
Many of life's failures happen with people who do not realize how close they were to success when they gave up.