Question

# If $$R$$ is the relation 'less than' from $$A=\{1, 2, 3, 4, 5\}$$ to $$B=\{1, 4\}$$, the set of ordered pairs corresponding to $$R$$, then the inverse of $$R$$ is

A
{(3,1),(3,2),(3,3)}
B
{(4,1),(4,2),(4,3)}
C
{(4,3),(4,4),(4,5)}
D
{(1,3),(2,4),(3,5)}

Solution

## The correct option is B $$\{(4, 1), (4, 2), (4, 3)\}$$$$\because R$$ is the relation 'less than' from $$A$$ to $$B$$.So $$R=\{(1,4), (2,4), (3,4)\}$$$$R^{-1}=\{(4,1), (4,2), (4, 3)\}$$Mathematics

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