Let $\mathrm{R}=\{(1,2),(2,3),(3,3)\}$ be a relation defined on the set $\{1,2,3,4\}$. Then the minimum number of elements, needed to be added in R so that R becomes an equivalence relation, is:

Question

Aicharya · Accepted Answer

$A=\{1,2,3,4\}$
For relation to be reflexive
$\mathrm{R}=\{(1,2),(2,3),(3,3)\}$
Minimum elements added will be
$(1,1),(2,2),(4,4)(2,1)(3,2)(3,2)(3,1)(1,3)$
$\therefore$ Minimum number of elements $=7$ /

Let $\mathrm{R}=\{(1,2),(2,3),(3,3)\}$ be a relation defined on the set $\{1,2,3,4\}$. Then the minimum…

Solution