Answer
$-3\lt c \lt \frac{11}{2}$
The graph is shown below.
Work Step by Step
The given inequality is
$\Rightarrow -7\lt 2c-1 \lt 10$
Add $1$ to each expression.
$\Rightarrow -7+1\lt 2c-1+1 \lt 10+1$
Simplify.
$\Rightarrow -6\lt 2c\lt 11$
Divide each expression by $2$.
$\Rightarrow \frac{-6}{2}\lt \frac{2c}{2}\lt \frac{11}{2}$
Simplify.
$\Rightarrow -3\lt c\lt \frac{11}{2}$
Hence, the solution is $-3\lt c \lt \frac{11}{2}$.
