Answer
No solution.
The graph is shown below.
Work Step by Step
The given inequality is
$\Rightarrow -2|y-3|-5 \geq -4$
Add $5$ to each side.
$\Rightarrow -2|y-3|-5+5 \geq -4+5$
Simplify.
$\Rightarrow -2|y-3| \geq 1$
Divide each side by $-2$. Reverse the inequality symbol.
$\Rightarrow \frac{-2|y-3|}{-2} \leq \frac{1}{-2}$
Simplify.
$\Rightarrow |y-3| \leq -\frac{1}{2}$
The absolute value of an expression must be greater than or equal to zero.
The expression $|y-3|$ cannot be less than zero.
Hence, the inequality has no solution.
