Given: $-2 \;\frac{5}{6} < \;\frac{1}{2} - \;\frac{2x}{3} \le 2$ $\Rightarrow \;\; -\frac{17}{6} < \frac{3-4x}{6} \le 2$ Multiplying throughout by 6 $\; -17 < 3 - 4x \le 12$ $\; -17 < 3-4x \;\text{ and }\; 3-4x \le 12$ $\; \Rightarrow \;\; 4x < 3+17 \;\text{ and }\; 3-12 \le 4x$ $\; \Rightarrow \;\; 4x < 20 \;\text{ and }\; -9 \le 4x$ $\; \Rightarrow \;\; x < 5 \;\text{ and }\; -\frac{9}{4} < x$ $\; \{5 > x \ge \frac{-9}{4}\}$ Hence, the solution set is $\{x: x \in W, -\frac{9}{4} \le x < 5\}$ $\therefore$ Values of $x$ are $\{0,1,2,3,4\}$ The graph of the solution set is shown by dots on the number line.