Answer
$v\gt-\frac{3}{16}$
Work Step by Step
$\frac{5}{8}+v-\frac{7}{16}\gt0\longrightarrow$ create common denominators
$\frac{10}{16}+v-\frac{7}{16}\gt0\longrightarrow$ simplify
$\frac{3}{16}+v\gt0\longrightarrow$ subtract $\frac{3}{16}$ from both sides
$\frac{3}{16}+v-\frac{3}{16}\gt0-\frac{3}{16}$ simplify
$v\gt-\frac{3}{16}$