Answer
The solution set is $(-\infty, 1)$ .
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).
Multiplying/dividing with a negative number inverts the order (the inequality symbol changes).
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$ 2x-11 \lt -3(x+2)\qquad $ ... distribute, simplify
$ 2x-11 \lt -3x-6\qquad $ ... $/+3x+11$
$ 5x \lt 5\qquad $ ... $/\div 5$ (positive)
$ x \lt 1$
The solution set is $(-\infty, 1)$ .
