Define a relation $R$ on the set $\{ 1,2,3,4 \}$ as follows:
$$R = \{ ( 1,4 ) , ( 2,3 ) , ( 2,4 ) , ( 4,1 ) , ( 2,1 ) , ( 1,2 ) , ( 3,2 ) \}$$
(a) Is $R$ symmetric? Justify your answer.
(b) Is $R$ transitive? Justify your answer.

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The Answer of Define a relation $R$ on the set $\{ 1,2,3,4 \}$ as follows:
$$R = \{ ( 1,4 ) , ( 2,3 ) , ( 2,4 ) , ( 4,1 ) , ( 2,1 ) , ( 1,2 ) , ( 3,2 ) \}$$
(a) Is $R$ symmetric? Justify your answer.
(b) Is $R$ transitive? Justify your answer.

Define a Relation RRR On the Set {1,2,3,4}\{ 1,2,3,4 \}{1,2,3,4} As Follows R={(1,4),(2,3),(2,4),(4,1),(2,1),(1,2),(3,2)}R = \{ ( 1,4 ) , ( 2,3 ) , ( 2,4 ) , ( 4,1 ) , ( 2,1 ) , ( 1,2 ) , ( 3,2 ) \}R={(1,4),(2,3),(2,4),(4,1),(2,1),(1,2),(3,2)}

Define a Relation $R$ On the Set $\{ 1,2,3,4 \}$ As Follows $R = \{ ( 1,4 ) , ( 2,3 ) , ( 2,4 ) , ( 4,1 ) , ( 2,1 ) , ( 1,2 ) , ( 3,2 ) \}$