discrete_mathematics_with_a.../chapter_8/test_yourself.md
2026-08-15 17:12:17 -07:00

27 lines
688 B
Markdown

Page 515
**Test Yourself**
1. If $R$ is a relation from $A$ to $B$, $x \in A$, and $y \in B$, the notation
$x R y$ means that ____.
$x$ is related to $y$ by $R$
2. If $R$ is a relation from $A$ to $B$, $x \in A$, and $y \in B$, the notation
$x \cancel{R} y$ means that ____.
$x$ is not related to $y$ by $R$.
3. If $R$ is a relation from $A$ to $B$, $x \in A$, and $y \in B$, the notation
$(y, x) \in R^{-1}$ if, and only if, ____.
$$ (x, y) \in R $$
4. A relation on a set $A$ is a relation from ____ to ____.
$A$; $A$
5. If $R$ is a relation on a set $A$, the directed graph of $R$ has an arrow
from $x$ to $y$ if, and only if, ____.
$x$ is related to $y$ by $R$