Relation Properties

Fun Class Activities:

  1. What properties does the relation $\text{GreaterThanOrEqualTo}$ ($\ge$) have?
  2. What properties does the relation $\text{LessThan}$ ($<$) have?
  3. What properties does the relation $\text{EvenToOdd}$ have?
  4. Consider the set $S = \{$😀$,$ 😁$,$ 😎$,$ 😜$\}$ and the following relation on $S$:
    $R = \{(😀, 😀), (😁, 😁), (😎, 😎), (😜, 😜)\}$.
    What properties does this relation have?
  5. Consider the set $S = \{$😀$,$ 😁$,$ 😎$,$ 😜$\}$ and the following relation on $S$:
    $R = \{(😀, 😀), (😁, 😁), (😜, 😜)\}$.
    What properties does this relation have?
These notes by Miriam Briskman are licensed under CC BY-NC 4.0 and based on sources.