Let $\mathrm{A}=\{1,2,3,4\}, \mathrm{B}=\{2,3,4,5\}$ and $\mathrm{R} \subset \mathrm{A} imes \math

Question

Let $\mathrm{A}=\{1,2,3,4\}, \mathrm{B}=\{2,3,4,5\}$ and $\mathrm{R} \subset \mathrm{A} 	imes \mathrm{B}$ defined by $\mathrm{R}=\left\{(\mathrm{x}, \mathrm{y}): \mathrm{x}^2<\mathrm{y}ight\}$. Then $\mathrm{RoR}^{-1}$ contains

Professor PC Thomas Classes · Answer

$ 	ext {  } \begin{aligned} \mathrm{R}= & \{(1,2),(1,3),(1,4),(1,5),(2,5)\} \ & \mathrm{R}^{-1}=\{(2,1),(3,1),(4,1),(5,1),(5,2)\} \end{aligned} \ $ From the diagram we can see that $\mathrm{RoR}^{-1}=\mathrm{B} 	imes \mathrm{B}$