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Question

If R be a relation '<' from A = {1, 2, 3, 4} to B = {1, 3, 5} i.e. (a, b) element of R iff a < b, then R O R to the power of negative 1 end exponent text end textis text-end text

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

The correct answer is: {(3, 3), (3, 5), (5, 3), (5, 5)}


    To find values of R O R to the power of negative 1 end exponent text end text
    A = {1, 2, 3, 4}
    B = {1, 3, 5}
    R = {(1, 3), (1, 5), (2, 3), (2, 5), (3, 5), (4, 5)}
    R to the power of negative 1 end exponent = {(3, 1), (5, 1), (3, 2), (5, 2), (5, 3), (5, 4)}
    R O R to the power of negative 1 end exponent text end text  = {(3, 3), (3, 5), (5, 3), (5, 5)}

    Values of R O R to the power of negative 1 end exponent text end text are {(3, 3), (3, 5), (5, 3), (5, 5)}

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