Let $R$ be the relation on $Z$ defined by $R = \{ (a,b):a,b \in Z,a - b$ is an integer $\} $ Find the domain and range of $R .$
Let $A=\{1,2\}$ and $B=\{3,4\} .$ Find the number of relations from $A$ to $B .$
Let $A=\{x, y, z\}$ and $B=\{1,2\} .$ Find the number of relations from $A$ to $B$.
The Fig shows a relationship between the sets $P$ and $Q .$ Write this relation
in set-builder form
What is its domain and range?
Let $R$ be a relation from $Q$ to $Q$ defined by $R=\{(a, b): a, b \in Q$ and $a-b \in Z \} .$ Show that
$(a, b) \in R$ and $(b, c) \in R$ implies that $(a, c) \in R$