Answer
No solution.
The graph is shown below.
Work Step by Step
The given inequality is
$\Rightarrow -2|x+1|\geq 18$
Divide each side by $-2$. Reverse the inequality symbol.
$\Rightarrow \frac{-2|x+1|}{-2}\leq \frac{18}{-2}$
Simplify.
$\Rightarrow |x+1|\leq -9$
The absolute value of an expression must be greater than or equal to zero.
The expression $|x+1|$ cannot be less than zero.
Hence, the inequality has no solution.
