LM wrote:

If m > 0 and n > 0, is (m+x)/(n+x) > m/n?

(1) m < n.

(2) x > 0.

I used plug in...

1.

let m=3 and n=4 and x = 1

\(\frac{m}{n} = \frac{3}{4}\) while \(\frac{m+x}{n+x}= \frac{4}{5}\)

\(\frac{3}{4} < \frac{4}{5}\) YES!

let m=3 and n=4 and x=-1

\(\frac{m}{n} = \frac{3}{4}\) while \(\frac{m+x}{n+x}= \frac{2}{3}\)

\(\frac{3}{4} > \frac{2}{3}\) NO!

thus, INSUFFICIENT!

2. x > 0

From statement 1 we tested m=3 and n=4 and x=1 (see that x>0 here) and we got YES!

let m=4 and n=3

\(\frac{m}{n} = \frac{4}{3}\) while \(\frac{m+x}{n+x}= \frac{5}{4}\)

\(\frac{4}{3} > \frac{5}{4}\) NO!

thus, INSUFFICIENT!

Together, we combine and using statement 1 where when x>0 we get YES!

Answer: C

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