Answer
No solution.
The graph is shown below.
Work Step by Step
The given inequality is
$\Rightarrow 22\lt-3c+4\lt 14$
Write two inequalities.
$\Rightarrow 22\lt-3c+4$ and $-3c+4\lt 14$
Subtract $4$ from each side.
$\Rightarrow 22-4\lt-3c+4-4$ and $-3c+4-4\lt 14-4$
Simplify.
$\Rightarrow 18\lt-3c$ and $-3c\lt 10$
Divide each side by $-3$. Reverse the inequality symbol.
$\Rightarrow \frac{18}{-3}\gt\frac{-3c}{-3}$ and $\frac{-3c}{-3}\gt \frac{10}{-3}$
Simplify.
$\Rightarrow -6\gt c$ and $c\gt -\frac{10}{3}$
Hence, the inequality has no solution.
