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Question

If A = {x: x2 - 5x + 6 = 0}, B = {2,4} , C = {4,5}, then 

A×(B C) is 


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

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

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

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


Solution

The correct option is D

{(2, 4), (3, 4)}


Clearly, A = {2,3} , B = {2,4}, C = {4,5}

BC = {4}

A × (B C) = {(2,4); (3,4)}.

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