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## GRE - Quantitative Reasoning - Inequalities

### If 0 < y < x, then which of the following is a possible value of

If 0 < y < x, then which of the following is a possible value of

$\frac { 27x+ 23y }{ 3x+ 2y }$

I. 8.7
II. 9.2
III. 10.8

A) I only
B) II only
C) III only
D) I and II only
E) II and III only

$\frac { 27x\quad +\quad 23y }{ 3x\quad +\quad 2y } \\ \\ \frac { 27x\quad +\quad 18x\quad +\quad 5x }{ 3x\quad +\quad 2y } \\ \\ \frac { 27x\quad +\quad 18x }{ 3x\quad +\quad 2y } +\quad \frac { 5x }{ 3x\quad +\quad 2y } \\ \\ 9\quad +\quad positive\quad number\\ \\ \\ \\$

the given expression is > 9

E is correct