Question

I don't understand what the answer is supposed to be, none of my answers match.

Answer 1

The rational expression is the following

`((x-1)/(6xy))/((5)/(2y))`

By applying the sandwich rule:

we have

`((x-1)/(6xy))/((5)/(2y))=((x-1)(2y))/((6xy)(5))`

which gives

`((x-1)/(6xy))/((5)/(2y))=((x-1)(2y))/((6xy)(5))=((x-1)(2y))/((2\cdot3xy)(5))=((x-1)(2y))/((3x\cdot2y)(5))=(x-1)/(3x\cdot5)=(x-1)/(15x)`

then, the answer is option 2.