{(a,a) (a,b) (b,c) (a,c) (b,b) (b,a) (c,a) (c,b)} is a relation on set A={a,b,c} does it satisfy the reflexive relation ??how?? plzz fast...
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R : A -> A
A = {a,b,c}
R = { (a,a), (a,b), (a,c), (b,a), (b,b), (b,c) , (c,a), (c,b) }
R is reflexive if and only if (x,y) ∈ R and (y,x) ∈ R
If (x,y) is in the relation R, then (y,x) must also be in the relation R.
Check this for every element/member of R.
Since, it is true, R is a reflexive relation.
A = {a,b,c}
R = { (a,a), (a,b), (a,c), (b,a), (b,b), (b,c) , (c,a), (c,b) }
R is reflexive if and only if (x,y) ∈ R and (y,x) ∈ R
If (x,y) is in the relation R, then (y,x) must also be in the relation R.
Check this for every element/member of R.
Since, it is true, R is a reflexive relation.
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