[tex] A = \Big\{x\in \mathbb_Z$\Big\slash $ $ \Big| \dfrac{3x-1}{2}\Big| < \dfrac{3}{2} \Big\} \\ \\ \left| \dfrac{3x-1}{2}\right| < \dfrac{3}{2} \\ \\ -\dfrac{3}{2} < \dfrac{3x-1}{2}<\dfrac{3}{2} \Big| \cdot -3 < 3x-1 < 3 \Big|+1 \\ -2 < 3x < 4 \Big| : 3\\ \\ -\dfrac{2}{3} < x < \dfrac{4}{3} \\ \\ x \in \left( -\dfrac{2}{3}; \dfrac{4}{3}\right) \\ \\ x \in \Big( -0,(6); 1,(3) \Big) \\ \\ A = \Big\{0,1\Big\} \\ \\ \boxed{\boxed{$card$A = 2 }} [/tex]
