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  • Try this! for the set A={a,b,c,d}. Which of the following relations is reflexive relation from A to A?

for the set A={a,b,c,d}. Which of the following relations is reflexive relation from A to A?

  • Option 1)

    {(a,b);(a,c);(a,d);(b,b);(b,c);(b,d);(c,c)}

  • Option 2)

    {(a,a);(b,b);(c,c);(a,d);(b,d)}

  • Option 3)

    {(a,a);(b,b);(c,c);(a,d);(b,d);(d,d)}

  • Option 4)

    {(a,b);(b,c);(c,d);(d,a)}

 

Answers (1)

best_answer

As we learnt

 

REFLEXIVE RELATION -

 

A relation R in A is said to be reflexive,  if a R a ,∀ a ∈ A

-

 

 This relation(3) has all the elements (x,x) such that x\inA

 


Option 1)

{(a,b);(a,c);(a,d);(b,b);(b,c);(b,d);(c,c)}

Option 2)

{(a,a);(b,b);(c,c);(a,d);(b,d)}

Option 3)

{(a,a);(b,b);(c,c);(a,d);(b,d);(d,d)}

Option 4)

{(a,b);(b,c);(c,d);(d,a)}

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