Mathematics - Sets and Relations Question with Solution | TestHub

$U=\left\{x:x^5-6x^4+11x^3-6x^2=0\right\}$ Solving for values of $x$, we get $\mathrm{U}=\{0,1,2,3\}$ $\mathrm{A}=\left\{\mathrm{x}:{\mathrm{x}}^2-5\mathrm{x}+6=0\right\}$ Solving for values of $x$, we get $\mathrm{A}=\{2,3\}$ and $\mathrm{B}=\left\{\mathrm{x}:{\mathrm{x}}^2-3\mathrm{x}+2=0\right\}$ Solving for values of $x$, we get $\mathrm{B}=\{2,1\}$ $A\cap B=\{2\}$ $\therefore (A\cap B{)}^{\prime }=U-(A\cap B)$ $=\{0,1,2,3\}-\{2\}=\{0,1,3\}$