Answer
$w\lt-17$ or $w\geq -9$
The graph is shown below.
Work Step by Step
The given inequality is
$\Rightarrow -14\gt w+3$ or $3w \geq -27$
Solve the first inequality.
$\Rightarrow -14\gt w+3$
Subtract $3$ from each side.
$\Rightarrow -14-3\gt w+3-3$
Simplify.
$\Rightarrow -17\gt w$
Solve the second inequality.
$\Rightarrow 3w \geq -27$
Divide each side by $3$.
$\Rightarrow \frac{3w}{3} \geq \frac{-27}{3}$
Simplify.
$\Rightarrow w\geq -9$
Hence, the solution is $w\lt-17$ or $w\geq -9$.
