Respuesta :

Answer:

D. b > [tex]3\frac{2}{15}[/tex]

Step-by-step explanation:

1. Convert the mixed number into an improper fraction:

[tex]2\frac{3}{5} =\frac{13}{5}[/tex]

[tex]\frac{13}{5}[/tex] < b - [tex]\frac{8}{15}[/tex]

2. Isolate b:

[tex]\frac{13}{5}[/tex]+[tex]\frac{8}{15}[/tex] < b - [tex]\frac{8}{15}+\frac{8}{15}[/tex]

[tex]\frac{47}{15} < b[/tex]

3. Convert the improper fraction into a mixed number:

[tex]3\frac{2}{15}[/tex] < b

This can also be written as: b > [tex]3\frac{2}{15}[/tex]. Thus, the answer is D.

hope this helps!