چه تعداد از مجموعههای زیر، مساوی مجموعهٔ $A=\left\{ m\in Z\left| \left| m-۱ \right|\lt ۲ \right. \right\}$ است؟ الف) $B=\left\{ m\in Z\left| ۳{{m}^{۲}}\lt ۷m \right. \right\}$ ب) $C=\left\{ x\in Z\left| {{x}^{۳}}-۳{{x}^{۲}}=-۲x \right. \right\}$ پ) $D=\left\{ m\in W\left| ۲{{m}^{۲}}-۱۰\le ۰ \right. \right\}$ ت) $E=\left\{ x\in Z\left| {{x}^{۴}}={{x}^{۲}} \right. \right\}$
$A=\left\{ m\in Z\left| -2\lt m-1\lt 2 \right. \right\}$ $=\left\{ m\in Z\left| -1\lt m\lt 3 \right. \right\}=\left\{ 0,1,2 \right\}$ $B=\left\{ m\in Z\left| 3{{m}^{2}}-7m\lt 0 \right. \right\}=\left\{ m\in Z\left| m(3m-7) \lt 0 \right. \right\}$ $=\left\{ m\in Z\left| 0\lt m\lt \frac{7}{3} \right. \right\}=\left\{ 1,2 \right\}\ne A$ $C=\left\{ x\in Z\left| {{x}^{3}}-3{{x}^{2}}+2x=0 \right. \right\}$ $=\left\{ x\in Z\left| x({{x}^{2}}-3x+2)=0 \right. \right\}=\left\{ 0,1,2 \right\}=A$ $D=\left\{ m\in W\left| {{m}^{2}}\le 5 \right. \right\}=\left\{ 0,1,2 \right\}=A$ $E=\left\{ x\in Z\left| {{x}^{2}}({{x}^{2}}-1)=0 \right. \right\}=\left\{ -1,0,1 \right\}\ne A$