#### Answer

Between $[59,95]$

#### Work Step by Step

Consider the expression $C=\dfrac{5}{9}(F-32)$
For $C=15$
we have $15=\dfrac{5}{9}(F-32)$
This implies $(15)(\dfrac{9}{5})=F-32$
or, $F=59$
For $C=35$
we have $35=\dfrac{5}{9}(F-32)$
This implies $(35)(\dfrac{9}{5})=F-32$
or, $F=95$
Our result is: Between $[59,95]$