Q10 of 109 Page 1

Define a reflexive relation.

Relation R on a set A is said to be a reflexive relation on A if:


⇒ (a,a) ∈ R ∀ a ∈ A


Eg A={1,2,3}


⇒ R={(1,1),(2,2),(3,3)}


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If A = {2, 3, 4}, B = {1, 3, 7} and R = {(x,y) : x ϵ A, y ϵB and x < y} is a relation from A to B, then write R–1.

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Let A = {3, 5, 7}, B = {2, 6, 10} and R be a relation from A to B defined by R = {(x, y) : x and y are relatively prime}. Then, write R and R–1.

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Define a symmetric relation.

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Define a transitive relation.