The solution set of $x \equiv 3 \pmod{7}$,where $x \in \mathbb{Z}$,is:

The figure shows a relationship between the sets $P$ and $Q$. Write this relation in roster form. What is its domain and range?

The number of elements in the relation $R = \{(x, y) : 4x^{2} + y^{2} < 52, x, y \in Z\}$ is

Let $R$ be a relation on $N$ defined by $x + 2y = 8$. The domain of $R$ is

Two finite sets $A$ and $B$ are such that $n(A) = 2$ and $n(B) = 3$. Then the total number of relations from $A$ to $B$ is:

Let $A = \{1, 2, 3, \ldots, 14\}$. Define a relation $R$ from $A$ to $A$ by $R = \{(x, y) : 3x - y = 0, \text{ where } x, y \in A\}$. Write down its domain,codomain,and range.