Equivalence Classes

Examples:


Fun Class Activity: Let $S = \{1, 1.23, 2, 2.0, 2.5, 3, \frac{9}{3}\}$.

  1. Write out the partition on $S$ that corresponds to the relation $\text{Same-$\mathbb{Q}$-Num}$.
  2. What relation does the following partition of $S$ correspond to: $\{\{1, 1.23\}, \{2, 2.0, 2.5\}, \{3, \frac{9}{3}\}\}?$