Set, Relation and FunctionHard

Question

Let the relation R on the set $M = \{ 1,2,3,\ldots\ldots.16\}$ be given by

$R = \{(x,y):4y = 5x - 3,x,y \in M\}$.

Then the minimum number of elements required to be added in R , in order to make the relation symmetric, is equal to

Options

A.1
B.2
C.4
D.3

Solution

$\ R = \{(3,3),(7,8),(11,13)\}$

to make it symmetric $(8,7),(13,11)$ must be added.

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