Answer:[tex]\large\boxed{0<b<1}[/tex]Step-by-step explanation:[tex]Domain:\ b\neq0\\\\7-\dfrac{2}{b}<\dfrac{5}{b}\qquad\text{add}\ \dfrac{2}{b}\ \text{to both sides}\\\\7<\dfrac{7}{b}\qquad\text{multiply both sides by}\ b\\\\1)\ \text{If}\ b<0\ \text{then we must flip the sign of inequality}\\\\7b>7\qquad\text{divide both sides by 7}\\\\b>1\to\text{contradiction, because is}\ b<0\\\\2)\ \text{If}\ b>0\ \text{then}\\\\7b<7\qquad\text{divide both sides by 7}\\\\b<1\ \text{and}\ b>0[/tex]