Rewrite the following statement formally. Use variables and include both quantifiers [tex]\forall[/tex] and [tex]\exists[/tex] in your answer. Statement: Every rational number can be written as a ratio of some two integers. If I didn't have to use [tex]\exists[/tex] I'd write it as follows [tex]\forall[/tex]rational numbers x, x is a ratio of two integers. But I can't think of a way or any reason why I'd want to include the quantifier [tex]\exists[/tex].