If 0 < x < 1 < y, which of the following must be true? Choose the correct choice from the following options:
A) 1 < 1/x < 1/y B) 1/x < 1 < 1/y C) 1/x < 1/y < 1 D) 1/y < 1 < 1/x E) 1/y < 1/x < 1
Soln:   0&lt;x&lt;1&lt;y. Let x=1/2 and y =2   Substituting values:   A. 1&lt;2&lt;1/2 --- Wrong   B. 2&lt;1&lt; 1/2 --- Wrong   C. 2&lt;1/2&lt;1 --- Wrong   D. 1/2&lt;1&lt;2 --- Correct   E. 1/2&lt;2&lt;1 --- Wrong   Hence answer is 1/y &lt; 1 &lt; 1/x
<result>D</result>
If 0 < x < 1 < y, which of the following must be true?