If 0 < a< 1 < b, which of the following must be true? Choose the correct choice from the following:
A) 1 < 1/a< 1/b B) 1/a< 1 < 1/b C) 1/a< 1/b< 1 D) 1/b< 1 < 1/a E) 1/b< 1/a< 1
0&lt;a&lt;1&lt;b. Let a=1/2 and b=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/b&lt; 1 &lt; 1/a
<result>D</result>
If 0 < a< 1 < b, which of the following must be true?