Question

If R is a relation from a non - empty set A to a non
- empty set B, then​

Answer 1

SETS and RELATION

Answer:

If $\mathrm{R}$ is a relation from a non-empty set $\mathrm{A}$ to a non-empty set $\mathrm{B}$, then $\mathrm{R\subseteq A\times B}$.

Explanation:

• The Cartesian product of $\mathrm{A}$ and $\mathrm{B}$ is defined by

• $\mathrm{A\times B=\{(a,\:b):a\in A,\:b\in B\}}$

• A relation $\mathrm{R}$ between the non-empty sets $\mathrm{A}$ and $\mathrm{B}$ is a subset of $\mathrm{A\times B}$.

• When a relation $\mathrm{R}$ is reflexive, symmetric and transitive at a time, we call the relation an equivalence relation. In simple words, we can call it RST relation.