Problem 2 (16 Points)
Determine if the following binary relations over $\mathbb{R}_{+}^{2}$ are complete and transitive
2.1) $x \succsim y$ if $\max(x_1, x_2) \geq \max(y_1, y_2)$.
2.2) $x \succsim y$ if $\max(x_1, x_2) \geq \min(y_1, y_2)$.
2.3) $x \succsim y$ if $\min(x_1, x_2) \geq \min(y_1, y_2)$.
