Answer
$(-5, -2]$
Work Step by Step
The idea is to isolate x on one side.
Adding, subtracting or multiplying/dividing with a positive number preserves order (the inequality symbol remains the same).
Multiplying/dividing with a negative number inverts the order (the inequality symbol changes).
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$-11 \lt 2x-1\leq-5 \qquad $ ... add 1 to all
$-10 \lt 2x\leq-4 \qquad $ ... divide with 2
$-5 \lt x\leq-2$
... left border excluded, right border included.
The solution set is $(-5, -2]$.
