If a,b,c,d are real numbers such that b > 0, d > 0 and a/b < c/d, then only one of the following ...?

statements is always correct. Which one is it?


A) a/b %26lt; (a-c)/(b-d) %26lt; c/d;


B) a/b %26lt; (a+c)/(b+d) %26lt; c/d;


C) a/b %26lt; (a-c)/(b+d) %26lt; c/d;


D) a/b %26lt; (a+c)/(b-d) %26lt; c/d;


Explain your answer...

If a,b,c,d are real numbers such that b %26gt; 0, d %26gt; 0 and a/b %26lt; c/d, then only one of the following ...?
a/b %26lt; c/d =%26gt;


ad %26lt; bc =%26gt;


ab + ad %26lt; ab + bc =%26gt;


a(b + d) %26lt; b(a + c) =%26gt;


a/b %26lt; (a + c) / (b + d)





Also,


a/b %26lt; c/d =%26gt;


ad %26lt; bc =%26gt;


ad + cd %26lt; bc + cd =%26gt;


d(a + c) %26lt; c(b + d) =%26gt;


(a+c)/(b+d) %26lt; c/d





So B is correct.