Answer: a is more than 1 but less than 2
Step-by-step explanation:
b > 1
0 < [tex]\frac{1}{b}[/tex] < 1
0 + 1 < 1 + [tex]\frac{1}{b}[/tex] < 1 + 1
1 < 1 + [tex]\frac{1}{b}[/tex] < 2
So 1 < a < 2