[tex]\it x\in\mathbb{N}\\ \\ 12-4\Big(x+\dfrac{3}{8}\Big)\geq x+\dfrac{11}{2} \Rightarrow 12-4x+\dfrac{3}{2}\geq x+\dfrac{11}{2}|_{-\frac{3}{2}} \Rightarrow\\ \\ \\ \Rightarrow 12-4x\geq x+4 \Rightarrow12-4\geq x+4x \Rightarrow 5x\leq8 \Rightarrow x\in\{0,\ \ 1\}[/tex]
