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Question

Mathematics Question on Relations and functions

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)\\{(3, 1), (3, 2), (3, 3)\\}

B

(4,1),(4,2),(4,3)\\{(4, 1), (4, 2), (4, 3)\\}

C

(4,3),(4,4),(4,5)\\{(4, 3), (4, 4), (4, 5)\\}

D

(1,3),(2,4),(3,5)\\{(1,3), (2, 4), (3, 5)\\}

Answer

(4,1),(4,2),(4,3)\\{(4, 1), (4, 2), (4, 3)\\}

Explanation

Solution

A=1,2,3,4,5,A=\\{1,2,3,4,5\\}, B=1,4B=\\{1,4\\} R is a relation less than from A to B R=(1,4),(2,4),(3,4)R = \\{(1,4), (2,4), (3,4)\\} R−1=(4,1),(4,2),(4,3)R^{-1} = \\{(4, 1), (4,2), (4,3)\\}