[tex]\it a)\ \ |2x-5|\leq3 \Rightarrow -3\leq2x-5\leq3\bigg|_{+5}\Rightarrow 2\leq2x\leq8\bigg|_{:2}\Rightarrow \\ \\ \\ \Rightarrow 1\leq x\leq4\Rightarrow x\in\{1,\ \ 2,\ \ 3,\ \ 4\}\\ \\ \\ b)\ \ |-2-3x| < 14\Rightarrow |2+3x| < 14\Rightarrow -14 < 2+3x < 14\bigg|_{-2}\Rightarrow \\ \\ \\ \Rightarrow -16 < 3x < 12\bigg|_{:3}\Rightarrow -\dfrac{16}{3} < x < 4\ \stackrel{x\in\mathbb Z_+}{\Longrightarrow}\ x\in\{1,\ \ 2,\ \ 3\}[/tex]
