[tex]\it 4(1-x)>x-2 \Rightarrow 4-4x>x-2 \Rightarrow 4+2>x+4x \Rightarrow 6>5x \Rightarrow\\ \\ \Rightarrow 5x<6 \Rightarrow x<\dfrac{6}{5} \Rightarrow x<1\dfrac{1}{5} \Rightarrow x=1\ este\ cea\ mai\ mare\ solu\c{\it t}ie\ \^{i}ntreag\breve{a}[/tex]