Tamil Nadu Board Solutions for Chapter: Relations and Functions, Exercise 2: Progress Check

For any two non-empty sets $A$ and $B$, $A\times B$ is called as _____.

If $n\left(A\times B\right)=20$ and $n\left(A\right)=5$ then $n\left(B\right)$ is _____.

If $A=\left\{-1, 1\right\}$ and $B=\left\{-1, 1\right\}$, then geometrically describe the set of points of $A\times B$.

If $AB$ is the line segments given by the intervals $\left(-4, 3\right)$ and $\left(-2, 3\right)$, repectively, then represent the Cartesian product of $A$ and $B$.