MathProblemsBank

6.2.11 Binary relations

Problem: A binary relation is given: \( R=\{(x, y) \mid x, y \in \) \( \left.\left[-\frac{\pi}{2}, \frac{\pi}{2}\right] \wedge y \geq \sin x\right\} \). Find: \( \delta_{R}, \rho_{R}, R^{1}, R \circ R^{-1}, R \circ R \).