Relations and Functions

If $A = \{1, 2, 3\}$ and $B = \{3, 4\}$, then $(A \cup B) \times (A \cap B)$ is:...

If $P = \{1, 2\}$, form the set $P \times P \times P$....

If $A \times B = \{(a, x), (a, y), (b, x), (b, y)\}$, find $A$ and $B$....

Let $A = \{1, 2\}$ and $B = \{3, 4\}$. The number of relations from $A$ to $B$ is:...

Let $R$ be the relation on $\mathbb{N}$ defined by $R = \{(x, y) : y = x + 5, x...